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Finding the Fourth Proportional to 311,517.76, 467,269.90 and 86,872.20

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Solution

The fourth proportional to 311,517.76, 467,269.90 and 86,872.20 is: 130,306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,517.76 : 467,269.90 = 86,872.20 : x
  2. Step 2: Convert to fraction form
    311,517.76/467,269.90 = 86,872.20/x
  3. Step 3: Cross multiply
    311,517.76x = 467,269.90 × 86,872.20
  4. Step 4: Simplify right side
    311,517.76x = 40,592,764,206.78
  5. Step 5: Solve for x
    x = 40,592,764,206.78/311,517.76
  6. Step 6: Final answer
    x = 130,306.42

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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.