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Finding the Fourth Proportional to 408,385.40, 613,234.20 and 308,658.20

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Solution

The fourth proportional to 408,385.40, 613,234.20 and 308,658.20 is: 463,483.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,385.40 : 613,234.20 = 308,658.20 : x
  2. Step 2: Convert to fraction form
    408,385.40/613,234.20 = 308,658.20/x
  3. Step 3: Cross multiply
    408,385.40x = 613,234.20 × 308,658.20
  4. Step 4: Simplify right side
    408,385.40x = 189,279,764,350.44
  5. Step 5: Solve for x
    x = 189,279,764,350.44/408,385.40
  6. Step 6: Final answer
    x = 463,483.18

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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.