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Finding the Fourth Proportional to 272,480.65, 408,721.01 and 82,951.92

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Solution

The fourth proportional to 272,480.65, 408,721.01 and 82,951.92 is: 124,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,480.65 : 408,721.01 = 82,951.92 : x
  2. Step 2: Convert to fraction form
    272,480.65/408,721.01 = 82,951.92/x
  3. Step 3: Cross multiply
    272,480.65x = 408,721.01 × 82,951.92
  4. Step 4: Simplify right side
    272,480.65x = 33,904,192,109.08
  5. Step 5: Solve for x
    x = 33,904,192,109.08/272,480.65
  6. Step 6: Final answer
    x = 124,427.89

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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.