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Finding the Fourth Proportional to 410,356.20, 615,534.30 and 408,023.40

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Solution

The fourth proportional to 410,356.20, 615,534.30 and 408,023.40 is: 612,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,356.20 : 615,534.30 = 408,023.40 : x
  2. Step 2: Convert to fraction form
    410,356.20/615,534.30 = 408,023.40/x
  3. Step 3: Cross multiply
    410,356.20x = 615,534.30 × 408,023.40
  4. Step 4: Simplify right side
    410,356.20x = 251,152,397,902.62
  5. Step 5: Solve for x
    x = 251,152,397,902.62/410,356.20
  6. Step 6: Final answer
    x = 612,035.10

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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.