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Finding the Fourth Proportional to 308,512.61, 462,882.20 and 220,459.17

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Solution

The fourth proportional to 308,512.61, 462,882.20 and 220,459.17 is: 330,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,512.61 : 462,882.20 = 220,459.17 : x
  2. Step 2: Convert to fraction form
    308,512.61/462,882.20 = 220,459.17/x
  3. Step 3: Cross multiply
    308,512.61x = 462,882.20 × 220,459.17
  4. Step 4: Simplify right side
    308,512.61x = 102,046,625,619.77
  5. Step 5: Solve for x
    x = 102,046,625,619.77/308,512.61
  6. Step 6: Final answer
    x = 330,769.71

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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.