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Finding the Fourth Proportional to 657,229.60, 985,115.40 and 257,737.60

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Solution

The fourth proportional to 657,229.60, 985,115.40 and 257,737.60 is: 386,320.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,229.60 : 985,115.40 = 257,737.60 : x
  2. Step 2: Convert to fraction form
    657,229.60/985,115.40 = 257,737.60/x
  3. Step 3: Cross multiply
    657,229.60x = 985,115.40 × 257,737.60
  4. Step 4: Simplify right side
    657,229.60x = 253,901,278,919.04
  5. Step 5: Solve for x
    x = 253,901,278,919.04/657,229.60
  6. Step 6: Final answer
    x = 386,320.52

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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.