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Finding the Fourth Proportional to 431,910.70, 647,574.45 and 229,540.30

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Solution

The fourth proportional to 431,910.70, 647,574.45 and 229,540.30 is: 344,155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,910.70 : 647,574.45 = 229,540.30 : x
  2. Step 2: Convert to fraction form
    431,910.70/647,574.45 = 229,540.30/x
  3. Step 3: Cross multiply
    431,910.70x = 647,574.45 × 229,540.30
  4. Step 4: Simplify right side
    431,910.70x = 148,644,433,525.34
  5. Step 5: Solve for x
    x = 148,644,433,525.34/431,910.70
  6. Step 6: Final answer
    x = 344,155.48

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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.