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Finding the Fourth Proportional to 394,162.31, 543,943.84 and 212,874.28

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Solution

The fourth proportional to 394,162.31, 543,943.84 and 212,874.28 is: 293,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,162.31 : 543,943.84 = 212,874.28 : x
  2. Step 2: Convert to fraction form
    394,162.31/543,943.84 = 212,874.28/x
  3. Step 3: Cross multiply
    394,162.31x = 543,943.84 × 212,874.28
  4. Step 4: Simplify right side
    394,162.31x = 115,791,653,300.44
  5. Step 5: Solve for x
    x = 115,791,653,300.44/394,162.31
  6. Step 6: Final answer
    x = 293,766.43

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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.