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Finding the Fourth Proportional to 259,729.20, 389,593.80 and 238,077.90

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Solution

The fourth proportional to 259,729.20, 389,593.80 and 238,077.90 is: 357,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,729.20 : 389,593.80 = 238,077.90 : x
  2. Step 2: Convert to fraction form
    259,729.20/389,593.80 = 238,077.90/x
  3. Step 3: Cross multiply
    259,729.20x = 389,593.80 × 238,077.90
  4. Step 4: Simplify right side
    259,729.20x = 92,753,673,757.02
  5. Step 5: Solve for x
    x = 92,753,673,757.02/259,729.20
  6. Step 6: Final answer
    x = 357,116.85

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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.