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Finding the Fourth Proportional to 410,620.50, 615,932.28 and 126,309.15

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Solution

The fourth proportional to 410,620.50, 615,932.28 and 126,309.15 is: 189,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,620.50 : 615,932.28 = 126,309.15 : x
  2. Step 2: Convert to fraction form
    410,620.50/615,932.28 = 126,309.15/x
  3. Step 3: Cross multiply
    410,620.50x = 615,932.28 × 126,309.15
  4. Step 4: Simplify right side
    410,620.50x = 77,797,882,744.36
  5. Step 5: Solve for x
    x = 77,797,882,744.36/410,620.50
  6. Step 6: Final answer
    x = 189,464.20

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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.