Proportionate allocation of resources is one of the important optimization problems. In this paper, the mathematical model of such a problem is formulated by first transforming it into a 0-1 type integer programming problem through the introduction of the 0-1 variable. In the meanwhile an intuitive and simple geommetric method is devised to obtain its optimal solution. This method not only can be programmed and used on computers, but also can serve as a practical means for solving relatively large problems in terms of manual computation. The gist of this method lies in that, starting from initial peak value curve and initial horizontal bar graph, the optimal solution is found by way of successive iterations and modifications.