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Finding the Fourth Proportional to 431,687.80, 647,531.70 and 404,039.80

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Solution

The fourth proportional to 431,687.80, 647,531.70 and 404,039.80 is: 606,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,687.80 : 647,531.70 = 404,039.80 : x
  2. Step 2: Convert to fraction form
    431,687.80/647,531.70 = 404,039.80/x
  3. Step 3: Cross multiply
    431,687.80x = 647,531.70 × 404,039.80
  4. Step 4: Simplify right side
    431,687.80x = 261,628,578,561.66
  5. Step 5: Solve for x
    x = 261,628,578,561.66/431,687.80
  6. Step 6: Final answer
    x = 606,059.70

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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.