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Finding the Fourth Proportional to 431,755.40, 647,438.70 and 194,976.20

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Solution

The fourth proportional to 431,755.40, 647,438.70 and 194,976.20 is: 292,376.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,755.40 : 647,438.70 = 194,976.20 : x
  2. Step 2: Convert to fraction form
    431,755.40/647,438.70 = 194,976.20/x
  3. Step 3: Cross multiply
    431,755.40x = 647,438.70 × 194,976.20
  4. Step 4: Simplify right side
    431,755.40x = 126,235,137,458.94
  5. Step 5: Solve for x
    x = 126,235,137,458.94/431,755.40
  6. Step 6: Final answer
    x = 292,376.51

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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.