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Finding the Fourth Proportional to 417,734.40, 626,601.60 and 137,260.80

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Solution

The fourth proportional to 417,734.40, 626,601.60 and 137,260.80 is: 205,891.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,734.40 : 626,601.60 = 137,260.80 : x
  2. Step 2: Convert to fraction form
    417,734.40/626,601.60 = 137,260.80/x
  3. Step 3: Cross multiply
    417,734.40x = 626,601.60 × 137,260.80
  4. Step 4: Simplify right side
    417,734.40x = 86,007,836,897.28
  5. Step 5: Solve for x
    x = 86,007,836,897.28/417,734.40
  6. Step 6: Final answer
    x = 205,891.20

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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.