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Finding the Fourth Proportional to 394,149.60, 543,926.97 and 224,383.50

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Solution

The fourth proportional to 394,149.60, 543,926.97 and 224,383.50 is: 309,649.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,149.60 : 543,926.97 = 224,383.50 : x
  2. Step 2: Convert to fraction form
    394,149.60/543,926.97 = 224,383.50/x
  3. Step 3: Cross multiply
    394,149.60x = 543,926.97 × 224,383.50
  4. Step 4: Simplify right side
    394,149.60x = 122,048,237,273.00
  5. Step 5: Solve for x
    x = 122,048,237,273.00/394,149.60
  6. Step 6: Final answer
    x = 309,649.53

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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.