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Finding the Fourth Proportional to 442,622.80, 664,150.20 and 205,843.60

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Solution

The fourth proportional to 442,622.80, 664,150.20 and 205,843.60 is: 308,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,622.80 : 664,150.20 = 205,843.60 : x
  2. Step 2: Convert to fraction form
    442,622.80/664,150.20 = 205,843.60/x
  3. Step 3: Cross multiply
    442,622.80x = 664,150.20 × 205,843.60
  4. Step 4: Simplify right side
    442,622.80x = 136,711,068,108.72
  5. Step 5: Solve for x
    x = 136,711,068,108.72/442,622.80
  6. Step 6: Final answer
    x = 308,865.85

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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.