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Finding the Fourth Proportional to 408,551.20, 613,287.60 and 315,469.60

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Solution

The fourth proportional to 408,551.20, 613,287.60 and 315,469.60 is: 473,560.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,551.20 : 613,287.60 = 315,469.60 : x
  2. Step 2: Convert to fraction form
    408,551.20/613,287.60 = 315,469.60/x
  3. Step 3: Cross multiply
    408,551.20x = 613,287.60 × 315,469.60
  4. Step 4: Simplify right side
    408,551.20x = 193,473,593,856.96
  5. Step 5: Solve for x
    x = 193,473,593,856.96/408,551.20
  6. Step 6: Final answer
    x = 473,560.21

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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.