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Finding the Fourth Proportional to 327,687.10, 491,721.69 and 138,135.85

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Solution

The fourth proportional to 327,687.10, 491,721.69 and 138,135.85 is: 207,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,687.10 : 491,721.69 = 138,135.85 : x
  2. Step 2: Convert to fraction form
    327,687.10/491,721.69 = 138,135.85/x
  3. Step 3: Cross multiply
    327,687.10x = 491,721.69 × 138,135.85
  4. Step 4: Simplify right side
    327,687.10x = 67,924,393,611.59
  5. Step 5: Solve for x
    x = 67,924,393,611.59/327,687.10
  6. Step 6: Final answer
    x = 207,284.31

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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.