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Finding the Fourth Proportional to 417,789.60, 626,763.76 and 137,387.68

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Solution

The fourth proportional to 417,789.60, 626,763.76 and 137,387.68 is: 206,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,789.60 : 626,763.76 = 137,387.68 : x
  2. Step 2: Convert to fraction form
    417,789.60/626,763.76 = 137,387.68/x
  3. Step 3: Cross multiply
    417,789.60x = 626,763.76 × 137,387.68
  4. Step 4: Simplify right side
    417,789.60x = 86,109,618,894.48
  5. Step 5: Solve for x
    x = 86,109,618,894.48/417,789.60
  6. Step 6: Final answer
    x = 206,107.62

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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.