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Finding the Fourth Proportional to 431,578.20, 647,561.70 and 206,851.80

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Solution

The fourth proportional to 431,578.20, 647,561.70 and 206,851.80 is: 310,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,578.20 : 647,561.70 = 206,851.80 : x
  2. Step 2: Convert to fraction form
    431,578.20/647,561.70 = 206,851.80/x
  3. Step 3: Cross multiply
    431,578.20x = 647,561.70 × 206,851.80
  4. Step 4: Simplify right side
    431,578.20x = 133,949,303,256.06
  5. Step 5: Solve for x
    x = 133,949,303,256.06/431,578.20
  6. Step 6: Final answer
    x = 310,370.87

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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.