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Finding the Fourth Proportional to 417,760.40, 626,640.60 and 137,286.80

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Solution

The fourth proportional to 417,760.40, 626,640.60 and 137,286.80 is: 205,930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,760.40 : 626,640.60 = 137,286.80 : x
  2. Step 2: Convert to fraction form
    417,760.40/626,640.60 = 137,286.80/x
  3. Step 3: Cross multiply
    417,760.40x = 626,640.60 × 137,286.80
  4. Step 4: Simplify right side
    417,760.40x = 86,029,482,724.08
  5. Step 5: Solve for x
    x = 86,029,482,724.08/417,760.40
  6. Step 6: Final answer
    x = 205,930.20

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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.