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Finding the Fourth Proportional to 657,072.91, 985,706.42 and 207,691.80

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Solution

The fourth proportional to 657,072.91, 985,706.42 and 207,691.80 is: 311,568.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,072.91 : 985,706.42 = 207,691.80 : x
  2. Step 2: Convert to fraction form
    657,072.91/985,706.42 = 207,691.80/x
  3. Step 3: Cross multiply
    657,072.91x = 985,706.42 × 207,691.80
  4. Step 4: Simplify right side
    657,072.91x = 204,723,135,906.50
  5. Step 5: Solve for x
    x = 204,723,135,906.50/657,072.91
  6. Step 6: Final answer
    x = 311,568.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.