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Finding the Fourth Proportional to 431,361.80, 647,625.90 and 273,897.80

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Solution

The fourth proportional to 431,361.80, 647,625.90 and 273,897.80 is: 411,217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,361.80 : 647,625.90 = 273,897.80 : x
  2. Step 2: Convert to fraction form
    431,361.80/647,625.90 = 273,897.80/x
  3. Step 3: Cross multiply
    431,361.80x = 647,625.90 × 273,897.80
  4. Step 4: Simplify right side
    431,361.80x = 177,383,309,233.02
  5. Step 5: Solve for x
    x = 177,383,309,233.02/431,361.80
  6. Step 6: Final answer
    x = 411,217.01

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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.