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Finding the Fourth Proportional to 311,714.73, 467,591.78 and 131,766.60

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Solution

The fourth proportional to 311,714.73, 467,591.78 and 131,766.60 is: 197,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,714.73 : 467,591.78 = 131,766.60 : x
  2. Step 2: Convert to fraction form
    311,714.73/467,591.78 = 131,766.60/x
  3. Step 3: Cross multiply
    311,714.73x = 467,591.78 × 131,766.60
  4. Step 4: Simplify right side
    311,714.73x = 61,612,979,038.55
  5. Step 5: Solve for x
    x = 61,612,979,038.55/311,714.73
  6. Step 6: Final answer
    x = 197,658.22

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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.