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Finding the Fourth Proportional to 410,323.20, 615,542.40 and 129,811.20

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Solution

The fourth proportional to 410,323.20, 615,542.40 and 129,811.20 is: 194,735.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,323.20 : 615,542.40 = 129,811.20 : x
  2. Step 2: Convert to fraction form
    410,323.20/615,542.40 = 129,811.20/x
  3. Step 3: Cross multiply
    410,323.20x = 615,542.40 × 129,811.20
  4. Step 4: Simplify right side
    410,323.20x = 79,904,297,594.88
  5. Step 5: Solve for x
    x = 79,904,297,594.88/410,323.20
  6. Step 6: Final answer
    x = 194,735.02

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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.