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Finding the Fourth Proportional to 217,744.76, 326,490 and 84,469.28

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Solution

The fourth proportional to 217,744.76, 326,490 and 84,469.28 is: 126,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,744.76 : 326,490 = 84,469.28 : x
  2. Step 2: Convert to fraction form
    217,744.76/326,490 = 84,469.28/x
  3. Step 3: Cross multiply
    217,744.76x = 326,490 × 84,469.28
  4. Step 4: Simplify right side
    217,744.76x = 27,578,375,227.20
  5. Step 5: Solve for x
    x = 27,578,375,227.20/217,744.76
  6. Step 6: Final answer
    x = 126,654.60

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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.