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Finding the Fourth Proportional to 431,426.39, 647,139.58 and 131,906.96

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Solution

The fourth proportional to 431,426.39, 647,139.58 and 131,906.96 is: 197,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,426.39 : 647,139.58 = 131,906.96 : x
  2. Step 2: Convert to fraction form
    431,426.39/647,139.58 = 131,906.96/x
  3. Step 3: Cross multiply
    431,426.39x = 647,139.58 × 131,906.96
  4. Step 4: Simplify right side
    431,426.39x = 85,362,215,651.79
  5. Step 5: Solve for x
    x = 85,362,215,651.79/431,426.39
  6. Step 6: Final answer
    x = 197,860.44

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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.