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Finding the Fourth Proportional to 410,098.76, 615,144.36 and 129,616.16

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Solution

The fourth proportional to 410,098.76, 615,144.36 and 129,616.16 is: 194,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,098.76 : 615,144.36 = 129,616.16 : x
  2. Step 2: Convert to fraction form
    410,098.76/615,144.36 = 129,616.16/x
  3. Step 3: Cross multiply
    410,098.76x = 615,144.36 × 129,616.16
  4. Step 4: Simplify right side
    410,098.76x = 79,732,649,788.86
  5. Step 5: Solve for x
    x = 79,732,649,788.86/410,098.76
  6. Step 6: Final answer
    x = 194,423.05

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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.