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Finding the Fourth Proportional to 311,517.95, 467,270.22 and 86,872.40

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Solution

The fourth proportional to 311,517.95, 467,270.22 and 86,872.40 is: 130,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,517.95 : 467,270.22 = 86,872.40 : x
  2. Step 2: Convert to fraction form
    311,517.95/467,270.22 = 86,872.40/x
  3. Step 3: Cross multiply
    311,517.95x = 467,270.22 × 86,872.40
  4. Step 4: Simplify right side
    311,517.95x = 40,592,884,712.95
  5. Step 5: Solve for x
    x = 40,592,884,712.95/311,517.95
  6. Step 6: Final answer
    x = 130,306.73

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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.