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Finding the Fourth Proportional to 327,456.96, 491,244.84 and 135,331.71

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Solution

The fourth proportional to 327,456.96, 491,244.84 and 135,331.71 is: 203,022.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,456.96 : 491,244.84 = 135,331.71 : x
  2. Step 2: Convert to fraction form
    327,456.96/491,244.84 = 135,331.71/x
  3. Step 3: Cross multiply
    327,456.96x = 491,244.84 × 135,331.71
  4. Step 4: Simplify right side
    327,456.96x = 66,481,004,225.88
  5. Step 5: Solve for x
    x = 66,481,004,225.88/327,456.96
  6. Step 6: Final answer
    x = 203,022.11

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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.