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Finding the Fourth Proportional to 410,630.57, 615,947.37 and 126,319.15

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Solution

The fourth proportional to 410,630.57, 615,947.37 and 126,319.15 is: 189,479.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,630.57 : 615,947.37 = 126,319.15 : x
  2. Step 2: Convert to fraction form
    410,630.57/615,947.37 = 126,319.15/x
  3. Step 3: Cross multiply
    410,630.57x = 615,947.37 × 126,319.15
  4. Step 4: Simplify right side
    410,630.57x = 77,805,948,223.14
  5. Step 5: Solve for x
    x = 77,805,948,223.14/410,630.57
  6. Step 6: Final answer
    x = 189,479.19

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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.