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Finding the Fourth Proportional to 327,877.53, 491,882.58 and 138,338.37

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Solution

The fourth proportional to 327,877.53, 491,882.58 and 138,338.37 is: 207,535.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,877.53 : 491,882.58 = 138,338.37 : x
  2. Step 2: Convert to fraction form
    327,877.53/491,882.58 = 138,338.37/x
  3. Step 3: Cross multiply
    327,877.53x = 491,882.58 × 138,338.37
  4. Step 4: Simplify right side
    327,877.53x = 68,046,234,348.59
  5. Step 5: Solve for x
    x = 68,046,234,348.59/327,877.53
  6. Step 6: Final answer
    x = 207,535.52

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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.