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Finding the Fourth Proportional to 438,679.80, 656,853.30 and 280,049.40

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Solution

The fourth proportional to 438,679.80, 656,853.30 and 280,049.40 is: 419,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,679.80 : 656,853.30 = 280,049.40 : x
  2. Step 2: Convert to fraction form
    438,679.80/656,853.30 = 280,049.40/x
  3. Step 3: Cross multiply
    438,679.80x = 656,853.30 × 280,049.40
  4. Step 4: Simplify right side
    438,679.80x = 183,951,372,553.02
  5. Step 5: Solve for x
    x = 183,951,372,553.02/438,679.80
  6. Step 6: Final answer
    x = 419,329.48

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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.