**Resultant Stress on the Circular Column**

To solve this problem, we need to consider the resultant stress on the circular column. The resultant stress is the combined effect of the compressive and tensile stresses acting on the column.

Let's assume that the maximum compressive stress is denoted by σ_comp and the maximum tensile stress is denoted by σ_tens. We need to find the ratio of σ_comp to σ_tens.

**Analysis of the Column**

When the column is subjected to an external load, it experiences compressive stress on one side and tensile stress on the opposite side. The magnitude of the compressive and tensile stresses is maximum at the cross-section where the column is cut.

Considering the column is cut with any centricity equal to D by 4, we can assume that the cut is made at a distance of D/4 from the center of the column. This means that the distance between the cut and the center of the column is D/4.

**Stress Distribution on the Column**

The stress distribution on the column can be visualized as a bell-shaped curve. The maximum compressive stress occurs at the center of the column, and it decreases as we move towards the edges. Similarly, the maximum tensile stress occurs at the edges of the column and it decreases as we move towards the center.

At the location of the cut (D/4 from the center), the compressive stress and tensile stress are equal in magnitude. This means that σ_comp = σ_tens.

**Ratio between Maximum Compressive and Tensile Stress**

Since σ_comp = σ_tens at the location of the cut, the ratio between the maximum compressive and tensile stress is 1:1. In other words, the maximum compressive stress is equal to the maximum tensile stress.

Therefore, the ratio between the maximum compressive stress and the maximum tensile stress is 1:1.

**Conclusion**

In conclusion, when a circular column of diameter D is cut with any centricity equal to D by 4, the ratio between the maximum compressive stress and the maximum tensile stress is 1:1. This means that the magnitude of the compressive stress is equal to the magnitude of the tensile stress at the location of the cut.