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Finding the Fourth Proportional to 394,321.62, 543,806.56 and 258,305.96

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Solution

The fourth proportional to 394,321.62, 543,806.56 and 258,305.96 is: 356,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,321.62 : 543,806.56 = 258,305.96 : x
  2. Step 2: Convert to fraction form
    394,321.62/543,806.56 = 258,305.96/x
  3. Step 3: Cross multiply
    394,321.62x = 543,806.56 × 258,305.96
  4. Step 4: Simplify right side
    394,321.62x = 140,468,477,217.50
  5. Step 5: Solve for x
    x = 140,468,477,217.50/394,321.62
  6. Step 6: Final answer
    x = 356,228.19

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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.