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Finding the Fourth Proportional to 431,290.92, 647,034.80 and 131,814.08

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Solution

The fourth proportional to 431,290.92, 647,034.80 and 131,814.08 is: 197,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,290.92 : 647,034.80 = 131,814.08 : x
  2. Step 2: Convert to fraction form
    431,290.92/647,034.80 = 131,814.08/x
  3. Step 3: Cross multiply
    431,290.92x = 647,034.80 × 131,814.08
  4. Step 4: Simplify right side
    431,290.92x = 85,288,296,889.98
  5. Step 5: Solve for x
    x = 85,288,296,889.98/431,290.92
  6. Step 6: Final answer
    x = 197,751.20

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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.