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Finding the Fourth Proportional to 408,469.20, 612,703.80 and 198,517.20

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Solution

The fourth proportional to 408,469.20, 612,703.80 and 198,517.20 is: 297,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,469.20 : 612,703.80 = 198,517.20 : x
  2. Step 2: Convert to fraction form
    408,469.20/612,703.80 = 198,517.20/x
  3. Step 3: Cross multiply
    408,469.20x = 612,703.80 × 198,517.20
  4. Step 4: Simplify right side
    408,469.20x = 121,632,242,805.36
  5. Step 5: Solve for x
    x = 121,632,242,805.36/408,469.20
  6. Step 6: Final answer
    x = 297,775.80

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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.