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Finding the Fourth Proportional to 394,057.89, 543,800.49 and 224,292

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Solution

The fourth proportional to 394,057.89, 543,800.49 and 224,292 is: 309,523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,057.89 : 543,800.49 = 224,292 : x
  2. Step 2: Convert to fraction form
    394,057.89/543,800.49 = 224,292/x
  3. Step 3: Cross multiply
    394,057.89x = 543,800.49 × 224,292
  4. Step 4: Simplify right side
    394,057.89x = 121,970,099,503.08
  5. Step 5: Solve for x
    x = 121,970,099,503.08/394,057.89
  6. Step 6: Final answer
    x = 309,523.30

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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.