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Finding the Fourth Proportional to 408,657.20, 613,446.60 and 315,575.60

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Solution

The fourth proportional to 408,657.20, 613,446.60 and 315,575.60 is: 473,719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,657.20 : 613,446.60 = 315,575.60 : x
  2. Step 2: Convert to fraction form
    408,657.20/613,446.60 = 315,575.60/x
  3. Step 3: Cross multiply
    408,657.20x = 613,446.60 × 315,575.60
  4. Step 4: Simplify right side
    408,657.20x = 193,588,778,862.96
  5. Step 5: Solve for x
    x = 193,588,778,862.96/408,657.20
  6. Step 6: Final answer
    x = 473,719.24

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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.