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Finding the Fourth Proportional to 437,691.64, 656,291.20 and 138,116.38

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Solution

The fourth proportional to 437,691.64, 656,291.20 and 138,116.38 is: 207,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,691.64 : 656,291.20 = 138,116.38 : x
  2. Step 2: Convert to fraction form
    437,691.64/656,291.20 = 138,116.38/x
  3. Step 3: Cross multiply
    437,691.64x = 656,291.20 × 138,116.38
  4. Step 4: Simplify right side
    437,691.64x = 90,644,564,769.86
  5. Step 5: Solve for x
    x = 90,644,564,769.86/437,691.64
  6. Step 6: Final answer
    x = 207,096.86

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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.