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Finding the Fourth Proportional to 327,659.96, 491,666.51 and 138,251.60

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Solution

The fourth proportional to 327,659.96, 491,666.51 and 138,251.60 is: 207,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,659.96 : 491,666.51 = 138,251.60 : x
  2. Step 2: Convert to fraction form
    327,659.96/491,666.51 = 138,251.60/x
  3. Step 3: Cross multiply
    327,659.96x = 491,666.51 × 138,251.60
  4. Step 4: Simplify right side
    327,659.96x = 67,973,681,673.92
  5. Step 5: Solve for x
    x = 67,973,681,673.92/327,659.96
  6. Step 6: Final answer
    x = 207,451.90

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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.