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Finding the Fourth Proportional to 431,530.38, 647,367.96 and 131,940.75

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Solution

The fourth proportional to 431,530.38, 647,367.96 and 131,940.75 is: 197,933.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,530.38 : 647,367.96 = 131,940.75 : x
  2. Step 2: Convert to fraction form
    431,530.38/647,367.96 = 131,940.75/x
  3. Step 3: Cross multiply
    431,530.38x = 647,367.96 × 131,940.75
  4. Step 4: Simplify right side
    431,530.38x = 85,414,214,168.37
  5. Step 5: Solve for x
    x = 85,414,214,168.37/431,530.38
  6. Step 6: Final answer
    x = 197,933.26

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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.