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Finding the Fourth Proportional to 394,164.31, 543,946.60 and 212,876.28

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Solution

The fourth proportional to 394,164.31, 543,946.60 and 212,876.28 is: 293,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,164.31 : 543,946.60 = 212,876.28 : x
  2. Step 2: Convert to fraction form
    394,164.31/543,946.60 = 212,876.28/x
  3. Step 3: Cross multiply
    394,164.31x = 543,946.60 × 212,876.28
  4. Step 4: Simplify right side
    394,164.31x = 115,793,328,726.65
  5. Step 5: Solve for x
    x = 115,793,328,726.65/394,164.31
  6. Step 6: Final answer
    x = 293,769.19

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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.