Finding the Fourth Proportional to 734,759.96, 1,013,899.41 and 412,407.09
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Solution
The fourth proportional to 734,759.96, 1,013,899.41 and 412,407.09 is: 569,082.87
Step by Step Solution
- Step 1: Write the proportion equation
734,759.96 : 1,013,899.41 = 412,407.09 : x - Step 2: Convert to fraction form
734,759.96/1,013,899.41 = 412,407.09/x - Step 3: Cross multiply
734,759.96x = 1,013,899.41 × 412,407.09 - Step 4: Simplify right side
734,759.96x = 418,139,305,230.82 - Step 5: Solve for x
x = 418,139,305,230.82/734,759.96 - Step 6: Final answer
x = 569,082.87
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.