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Finding the Fourth Proportional to 394,081.50, 543,833.10 and 224,315.64

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Solution

The fourth proportional to 394,081.50, 543,833.10 and 224,315.64 is: 309,555.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,081.50 : 543,833.10 = 224,315.64 : x
  2. Step 2: Convert to fraction form
    394,081.50/543,833.10 = 224,315.64/x
  3. Step 3: Cross multiply
    394,081.50x = 543,833.10 × 224,315.64
  4. Step 4: Simplify right side
    394,081.50x = 121,990,269,879.68
  5. Step 5: Solve for x
    x = 121,990,269,879.68/394,081.50
  6. Step 6: Final answer
    x = 309,555.94

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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.