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Finding the Fourth Proportional to 275,456.20, 412,406.70 and 267,680.20

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Solution

The fourth proportional to 275,456.20, 412,406.70 and 267,680.20 is: 400,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,456.20 : 412,406.70 = 267,680.20 : x
  2. Step 2: Convert to fraction form
    275,456.20/412,406.70 = 267,680.20/x
  3. Step 3: Cross multiply
    275,456.20x = 412,406.70 × 267,680.20
  4. Step 4: Simplify right side
    275,456.20x = 110,393,107,937.34
  5. Step 5: Solve for x
    x = 110,393,107,937.34/275,456.20
  6. Step 6: Final answer
    x = 400,764.65

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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.