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Finding the Fourth Proportional to 272,433.74, 408,712.80 and 82,920.97

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Solution

The fourth proportional to 272,433.74, 408,712.80 and 82,920.97 is: 124,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,433.74 : 408,712.80 = 82,920.97 : x
  2. Step 2: Convert to fraction form
    272,433.74/408,712.80 = 82,920.97/x
  3. Step 3: Cross multiply
    272,433.74x = 408,712.80 × 82,920.97
  4. Step 4: Simplify right side
    272,433.74x = 33,890,860,350.25
  5. Step 5: Solve for x
    x = 33,890,860,350.25/272,433.74
  6. Step 6: Final answer
    x = 124,400.38

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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.