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Finding the Fourth Proportional to 410,630.54, 615,947.32 and 126,319.12

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Solution

The fourth proportional to 410,630.54, 615,947.32 and 126,319.12 is: 189,479.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,630.54 : 615,947.32 = 126,319.12 : x
  2. Step 2: Convert to fraction form
    410,630.54/615,947.32 = 126,319.12/x
  3. Step 3: Cross multiply
    410,630.54x = 615,947.32 × 126,319.12
  4. Step 4: Simplify right side
    410,630.54x = 77,805,923,428.76
  5. Step 5: Solve for x
    x = 77,805,923,428.76/410,630.54
  6. Step 6: Final answer
    x = 189,479.14

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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.