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Finding the Fourth Proportional to 394,180.70, 543,969.88 and 224,414.82

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Solution

The fourth proportional to 394,180.70, 543,969.88 and 224,414.82 is: 309,692.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,180.70 : 543,969.88 = 224,414.82 : x
  2. Step 2: Convert to fraction form
    394,180.70/543,969.88 = 224,414.82/x
  3. Step 3: Cross multiply
    394,180.70x = 543,969.88 × 224,414.82
  4. Step 4: Simplify right side
    394,180.70x = 122,074,902,144.59
  5. Step 5: Solve for x
    x = 122,074,902,144.59/394,180.70
  6. Step 6: Final answer
    x = 309,692.75

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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.