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Finding the Fourth Proportional to 272,434.74, 408,714.30 and 82,921.97

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Solution

The fourth proportional to 272,434.74, 408,714.30 and 82,921.97 is: 124,401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,434.74 : 408,714.30 = 82,921.97 : x
  2. Step 2: Convert to fraction form
    272,434.74/408,714.30 = 82,921.97/x
  3. Step 3: Cross multiply
    272,434.74x = 408,714.30 × 82,921.97
  4. Step 4: Simplify right side
    272,434.74x = 33,891,394,923.17
  5. Step 5: Solve for x
    x = 33,891,394,923.17/272,434.74
  6. Step 6: Final answer
    x = 124,401.88

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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.