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Finding the Fourth Proportional to 394,089.38, 543,843.98 and 224,323.52

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Solution

The fourth proportional to 394,089.38, 543,843.98 and 224,323.52 is: 309,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,089.38 : 543,843.98 = 224,323.52 : x
  2. Step 2: Convert to fraction form
    394,089.38/543,843.98 = 224,323.52/x
  3. Step 3: Cross multiply
    394,089.38x = 543,843.98 × 224,323.52
  4. Step 4: Simplify right side
    394,089.38x = 121,996,992,083.57
  5. Step 5: Solve for x
    x = 121,996,992,083.57/394,089.38
  6. Step 6: Final answer
    x = 309,566.81

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1.5x scale

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.