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Finding the Fourth Proportional to 432,452.40, 647,694.45 and 221,844.30

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Solution

The fourth proportional to 432,452.40, 647,694.45 and 221,844.30 is: 332,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,452.40 : 647,694.45 = 221,844.30 : x
  2. Step 2: Convert to fraction form
    432,452.40/647,694.45 = 221,844.30/x
  3. Step 3: Cross multiply
    432,452.40x = 647,694.45 × 221,844.30
  4. Step 4: Simplify right side
    432,452.40x = 143,687,321,874.14
  5. Step 5: Solve for x
    x = 143,687,321,874.14/432,452.40
  6. Step 6: Final answer
    x = 332,261.59

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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.