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Finding the Fourth Proportional to 260,042.30, 389,626.05 and 222,425.90

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Solution

The fourth proportional to 260,042.30, 389,626.05 and 222,425.90 is: 333,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,042.30 : 389,626.05 = 222,425.90 : x
  2. Step 2: Convert to fraction form
    260,042.30/389,626.05 = 222,425.90/x
  3. Step 3: Cross multiply
    260,042.30x = 389,626.05 × 222,425.90
  4. Step 4: Simplify right side
    260,042.30x = 86,662,924,834.70
  5. Step 5: Solve for x
    x = 86,662,924,834.70/260,042.30
  6. Step 6: Final answer
    x = 333,264.72

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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.