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Finding the Fourth Proportional to 394,057.38, 543,799.79 and 224,291.50

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Solution

The fourth proportional to 394,057.38, 543,799.79 and 224,291.50 is: 309,522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,057.38 : 543,799.79 = 224,291.50 : x
  2. Step 2: Convert to fraction form
    394,057.38/543,799.79 = 224,291.50/x
  3. Step 3: Cross multiply
    394,057.38x = 543,799.79 × 224,291.50
  4. Step 4: Simplify right side
    394,057.38x = 121,969,670,598.79
  5. Step 5: Solve for x
    x = 121,969,670,598.79/394,057.38
  6. Step 6: Final answer
    x = 309,522.61

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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.