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Finding the Fourth Proportional to 308,876.80, 463,359.36 and 98,517.12

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Solution

The fourth proportional to 308,876.80, 463,359.36 and 98,517.12 is: 147,789.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,876.80 : 463,359.36 = 98,517.12 : x
  2. Step 2: Convert to fraction form
    308,876.80/463,359.36 = 98,517.12/x
  3. Step 3: Cross multiply
    308,876.80x = 463,359.36 × 98,517.12
  4. Step 4: Simplify right side
    308,876.80x = 45,648,829,672.24
  5. Step 5: Solve for x
    x = 45,648,829,672.24/308,876.80
  6. Step 6: Final answer
    x = 147,789.76

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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.