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Finding the Fourth Proportional to 321,830.30, 482,902.24 and 132,347.60

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Solution

The fourth proportional to 321,830.30, 482,902.24 and 132,347.60 is: 198,585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,830.30 : 482,902.24 = 132,347.60 : x
  2. Step 2: Convert to fraction form
    321,830.30/482,902.24 = 132,347.60/x
  3. Step 3: Cross multiply
    321,830.30x = 482,902.24 × 132,347.60
  4. Step 4: Simplify right side
    321,830.30x = 63,910,952,498.62
  5. Step 5: Solve for x
    x = 63,910,952,498.62/321,830.30
  6. Step 6: Final answer
    x = 198,585.88

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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.