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Finding the Fourth Proportional to 327,693.89, 491,732 and 138,142.75

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Solution

The fourth proportional to 327,693.89, 491,732 and 138,142.75 is: 207,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,693.89 : 491,732 = 138,142.75 : x
  2. Step 2: Convert to fraction form
    327,693.89/491,732 = 138,142.75/x
  3. Step 3: Cross multiply
    327,693.89x = 491,732 × 138,142.75
  4. Step 4: Simplify right side
    327,693.89x = 67,929,210,743
  5. Step 5: Solve for x
    x = 67,929,210,743/327,693.89
  6. Step 6: Final answer
    x = 207,294.71

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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.