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Finding the Fourth Proportional to 408,272.80, 612,117.60 and 183,449.20

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Solution

The fourth proportional to 408,272.80, 612,117.60 and 183,449.20 is: 275,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,272.80 : 612,117.60 = 183,449.20 : x
  2. Step 2: Convert to fraction form
    408,272.80/612,117.60 = 183,449.20/x
  3. Step 3: Cross multiply
    408,272.80x = 612,117.60 × 183,449.20
  4. Step 4: Simplify right side
    408,272.80x = 112,292,484,025.92
  5. Step 5: Solve for x
    x = 112,292,484,025.92/408,272.80
  6. Step 6: Final answer
    x = 275,042.78

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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.