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Finding the Fourth Proportional to 337,645.72, 506,468.52 and 137,965.90

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Solution

The fourth proportional to 337,645.72, 506,468.52 and 137,965.90 is: 206,948.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,645.72 : 506,468.52 = 137,965.90 : x
  2. Step 2: Convert to fraction form
    337,645.72/506,468.52 = 137,965.90/x
  3. Step 3: Cross multiply
    337,645.72x = 506,468.52 × 137,965.90
  4. Step 4: Simplify right side
    337,645.72x = 69,875,385,183.47
  5. Step 5: Solve for x
    x = 69,875,385,183.47/337,645.72
  6. Step 6: Final answer
    x = 206,948.83

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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.