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Finding the Fourth Proportional to 311,092.85, 466,648.19 and 86,469.73

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Solution

The fourth proportional to 311,092.85, 466,648.19 and 86,469.73 is: 129,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,092.85 : 466,648.19 = 86,469.73 : x
  2. Step 2: Convert to fraction form
    311,092.85/466,648.19 = 86,469.73/x
  3. Step 3: Cross multiply
    311,092.85x = 466,648.19 × 86,469.73
  4. Step 4: Simplify right side
    311,092.85x = 40,350,941,719.58
  5. Step 5: Solve for x
    x = 40,350,941,719.58/311,092.85
  6. Step 6: Final answer
    x = 129,707.07

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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.