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Finding the Fourth Proportional to 431,586.20, 647,573.70 and 206,859.80

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Solution

The fourth proportional to 431,586.20, 647,573.70 and 206,859.80 is: 310,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,586.20 : 647,573.70 = 206,859.80 : x
  2. Step 2: Convert to fraction form
    431,586.20/647,573.70 = 206,859.80/x
  3. Step 3: Cross multiply
    431,586.20x = 647,573.70 × 206,859.80
  4. Step 4: Simplify right side
    431,586.20x = 133,956,966,067.26
  5. Step 5: Solve for x
    x = 133,956,966,067.26/431,586.20
  6. Step 6: Final answer
    x = 310,382.88

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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.