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Finding the Fourth Proportional to 394,105.66, 543,834.96 and 222,016.10

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Solution

The fourth proportional to 394,105.66, 543,834.96 and 222,016.10 is: 306,364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,105.66 : 543,834.96 = 222,016.10 : x
  2. Step 2: Convert to fraction form
    394,105.66/543,834.96 = 222,016.10/x
  3. Step 3: Cross multiply
    394,105.66x = 543,834.96 × 222,016.10
  4. Step 4: Simplify right side
    394,105.66x = 120,740,116,862.86
  5. Step 5: Solve for x
    x = 120,740,116,862.86/394,105.66
  6. Step 6: Final answer
    x = 306,364.84

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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.