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Finding the Fourth Proportional to 321,777.40, 482,821.92 and 132,377.73

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Solution

The fourth proportional to 321,777.40, 482,821.92 and 132,377.73 is: 198,630.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,777.40 : 482,821.92 = 132,377.73 : x
  2. Step 2: Convert to fraction form
    321,777.40/482,821.92 = 132,377.73/x
  3. Step 3: Cross multiply
    321,777.40x = 482,821.92 × 132,377.73
  4. Step 4: Simplify right side
    321,777.40x = 63,914,869,763.84
  5. Step 5: Solve for x
    x = 63,914,869,763.84/321,777.40
  6. Step 6: Final answer
    x = 198,630.70

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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.