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Finding the Fourth Proportional to 410,148.32, 615,218.64 and 129,665.60

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Solution

The fourth proportional to 410,148.32, 615,218.64 and 129,665.60 is: 194,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,148.32 : 615,218.64 = 129,665.60 : x
  2. Step 2: Convert to fraction form
    410,148.32/615,218.64 = 129,665.60/x
  3. Step 3: Cross multiply
    410,148.32x = 615,218.64 × 129,665.60
  4. Step 4: Simplify right side
    410,148.32x = 79,772,694,086.78
  5. Step 5: Solve for x
    x = 79,772,694,086.78/410,148.32
  6. Step 6: Final answer
    x = 194,497.19

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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.