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Finding the Fourth Proportional to 311,092.80, 465,472.80 and 206,116.80

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Solution

The fourth proportional to 311,092.80, 465,472.80 and 206,116.80 is: 308,402.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,092.80 : 465,472.80 = 206,116.80 : x
  2. Step 2: Convert to fraction form
    311,092.80/465,472.80 = 206,116.80/x
  3. Step 3: Cross multiply
    311,092.80x = 465,472.80 × 206,116.80
  4. Step 4: Simplify right side
    311,092.80x = 95,941,764,023.04
  5. Step 5: Solve for x
    x = 95,941,764,023.04/311,092.80
  6. Step 6: Final answer
    x = 308,402.39

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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.