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Finding the Fourth Proportional to 410,344.32, 615,605.76 and 129,864

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Solution

The fourth proportional to 410,344.32, 615,605.76 and 129,864 is: 194,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,344.32 : 615,605.76 = 129,864 : x
  2. Step 2: Convert to fraction form
    410,344.32/615,605.76 = 129,864/x
  3. Step 3: Cross multiply
    410,344.32x = 615,605.76 × 129,864
  4. Step 4: Simplify right side
    410,344.32x = 79,945,026,416.64
  5. Step 5: Solve for x
    x = 79,945,026,416.64/410,344.32
  6. Step 6: Final answer
    x = 194,824.25

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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.