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Finding the Fourth Proportional to 408,961.80, 614,098.80 and 276,429.60

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Solution

The fourth proportional to 408,961.80, 614,098.80 and 276,429.60 is: 415,087.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,961.80 : 614,098.80 = 276,429.60 : x
  2. Step 2: Convert to fraction form
    408,961.80/614,098.80 = 276,429.60/x
  3. Step 3: Cross multiply
    408,961.80x = 614,098.80 × 276,429.60
  4. Step 4: Simplify right side
    408,961.80x = 169,755,085,644.48
  5. Step 5: Solve for x
    x = 169,755,085,644.48/408,961.80
  6. Step 6: Final answer
    x = 415,087.88

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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.