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Finding the Fourth Proportional to 419,694.12, 629,083.02 and 206,608.68

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Solution

The fourth proportional to 419,694.12, 629,083.02 and 206,608.68 is: 309,687.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,694.12 : 629,083.02 = 206,608.68 : x
  2. Step 2: Convert to fraction form
    419,694.12/629,083.02 = 206,608.68/x
  3. Step 3: Cross multiply
    419,694.12x = 629,083.02 × 206,608.68
  4. Step 4: Simplify right side
    419,694.12x = 129,974,012,372.61
  5. Step 5: Solve for x
    x = 129,974,012,372.61/419,694.12
  6. Step 6: Final answer
    x = 309,687.48

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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.