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Finding the Fourth Proportional to 309,092.80, 462,764.40 and 274,100.80

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Solution

The fourth proportional to 309,092.80, 462,764.40 and 274,100.80 is: 410,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,092.80 : 462,764.40 = 274,100.80 : x
  2. Step 2: Convert to fraction form
    309,092.80/462,764.40 = 274,100.80/x
  3. Step 3: Cross multiply
    309,092.80x = 462,764.40 × 274,100.80
  4. Step 4: Simplify right side
    309,092.80x = 126,844,092,251.52
  5. Step 5: Solve for x
    x = 126,844,092,251.52/309,092.80
  6. Step 6: Final answer
    x = 410,375.43

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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.