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Finding the Fourth Proportional to 394,047.57, 543,813.31 and 224,281.70

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Solution

The fourth proportional to 394,047.57, 543,813.31 and 224,281.70 is: 309,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,047.57 : 543,813.31 = 224,281.70 : x
  2. Step 2: Convert to fraction form
    394,047.57/543,813.31 = 224,281.70/x
  3. Step 3: Cross multiply
    394,047.57x = 543,813.31 × 224,281.70
  4. Step 4: Simplify right side
    394,047.57x = 121,967,373,649.43
  5. Step 5: Solve for x
    x = 121,967,373,649.43/394,047.57
  6. Step 6: Final answer
    x = 309,524.49

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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.