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Finding the Fourth Proportional to 311,079.29, 466,618.67 and 86,439.62

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Solution

The fourth proportional to 311,079.29, 466,618.67 and 86,439.62 is: 129,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,079.29 : 466,618.67 = 86,439.62 : x
  2. Step 2: Convert to fraction form
    311,079.29/466,618.67 = 86,439.62/x
  3. Step 3: Cross multiply
    311,079.29x = 466,618.67 × 86,439.62
  4. Step 4: Simplify right side
    311,079.29x = 40,334,338,186.61
  5. Step 5: Solve for x
    x = 40,334,338,186.61/311,079.29
  6. Step 6: Final answer
    x = 129,659.35

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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.