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Finding the Fourth Proportional to 394,131.98, 543,902.12 and 212,843.90

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Solution

The fourth proportional to 394,131.98, 543,902.12 and 212,843.90 is: 293,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,131.98 : 543,902.12 = 212,843.90 : x
  2. Step 2: Convert to fraction form
    394,131.98/543,902.12 = 212,843.90/x
  3. Step 3: Cross multiply
    394,131.98x = 543,902.12 × 212,843.90
  4. Step 4: Simplify right side
    394,131.98x = 115,766,244,655.34
  5. Step 5: Solve for x
    x = 115,766,244,655.34/394,131.98
  6. Step 6: Final answer
    x = 293,724.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.