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Finding the Fourth Proportional to 327,103.25, 490,654.89 and 87,217.97

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Solution

The fourth proportional to 327,103.25, 490,654.89 and 87,217.97 is: 130,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,103.25 : 490,654.89 = 87,217.97 : x
  2. Step 2: Convert to fraction form
    327,103.25/490,654.89 = 87,217.97/x
  3. Step 3: Cross multiply
    327,103.25x = 490,654.89 × 87,217.97
  4. Step 4: Simplify right side
    327,103.25x = 42,793,923,476.37
  5. Step 5: Solve for x
    x = 42,793,923,476.37/327,103.25
  6. Step 6: Final answer
    x = 130,826.96

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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.