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Finding the Fourth Proportional to 431,378.80, 647,139.48 and 194,716.24

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Solution

The fourth proportional to 431,378.80, 647,139.48 and 194,716.24 is: 292,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,378.80 : 647,139.48 = 194,716.24 : x
  2. Step 2: Convert to fraction form
    431,378.80/647,139.48 = 194,716.24/x
  3. Step 3: Cross multiply
    431,378.80x = 647,139.48 × 194,716.24
  4. Step 4: Simplify right side
    431,378.80x = 126,008,566,301.16
  5. Step 5: Solve for x
    x = 126,008,566,301.16/431,378.80
  6. Step 6: Final answer
    x = 292,106.53

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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.