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Finding the Fourth Proportional to 327,691.89, 491,729.00 and 138,140.75

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Solution

The fourth proportional to 327,691.89, 491,729.00 and 138,140.75 is: 207,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,691.89 : 491,729.00 = 138,140.75 : x
  2. Step 2: Convert to fraction form
    327,691.89/491,729.00 = 138,140.75/x
  3. Step 3: Cross multiply
    327,691.89x = 491,729.00 × 138,140.75
  4. Step 4: Simplify right side
    327,691.89x = 67,927,812,166.05
  5. Step 5: Solve for x
    x = 67,927,812,166.05/327,691.89
  6. Step 6: Final answer
    x = 207,291.71

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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.