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Finding the Fourth Proportional to 431,677.76, 647,594.56 and 195,131.84

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Solution

The fourth proportional to 431,677.76, 647,594.56 and 195,131.84 is: 292,732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,677.76 : 647,594.56 = 195,131.84 : x
  2. Step 2: Convert to fraction form
    431,677.76/647,594.56 = 195,131.84/x
  3. Step 3: Cross multiply
    431,677.76x = 647,594.56 × 195,131.84
  4. Step 4: Simplify right side
    431,677.76x = 126,366,318,066.79
  5. Step 5: Solve for x
    x = 126,366,318,066.79/431,677.76
  6. Step 6: Final answer
    x = 292,732.98

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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.