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Finding the Fourth Proportional to 354,728.73, 532,125.90 and 141,445.20

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Solution

The fourth proportional to 354,728.73, 532,125.90 and 141,445.20 is: 212,180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,728.73 : 532,125.90 = 141,445.20 : x
  2. Step 2: Convert to fraction form
    354,728.73/532,125.90 = 141,445.20/x
  3. Step 3: Cross multiply
    354,728.73x = 532,125.90 × 141,445.20
  4. Step 4: Simplify right side
    354,728.73x = 75,266,654,350.68
  5. Step 5: Solve for x
    x = 75,266,654,350.68/354,728.73
  6. Step 6: Final answer
    x = 212,180.88

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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.