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Finding the Fourth Proportional to 391,314.30, 587,234.49 and 138,593.88

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Solution

The fourth proportional to 391,314.30, 587,234.49 and 138,593.88 is: 207,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,314.30 : 587,234.49 = 138,593.88 : x
  2. Step 2: Convert to fraction form
    391,314.30/587,234.49 = 138,593.88/x
  3. Step 3: Cross multiply
    391,314.30x = 587,234.49 × 138,593.88
  4. Step 4: Simplify right side
    391,314.30x = 81,387,106,438.92
  5. Step 5: Solve for x
    x = 81,387,106,438.92/391,314.30
  6. Step 6: Final answer
    x = 207,983.98

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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.