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Finding the Fourth Proportional to 312,711.40, 469,067.10 and 125,626.60

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Solution

The fourth proportional to 312,711.40, 469,067.10 and 125,626.60 is: 188,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,711.40 : 469,067.10 = 125,626.60 : x
  2. Step 2: Convert to fraction form
    312,711.40/469,067.10 = 125,626.60/x
  3. Step 3: Cross multiply
    312,711.40x = 469,067.10 × 125,626.60
  4. Step 4: Simplify right side
    312,711.40x = 58,927,304,944.86
  5. Step 5: Solve for x
    x = 58,927,304,944.86/312,711.40
  6. Step 6: Final answer
    x = 188,439.90

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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.