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Finding the Fourth Proportional to 394,123.64, 543,979.21 and 258,078.57

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Solution

The fourth proportional to 394,123.64, 543,979.21 and 258,078.57 is: 356,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,123.64 : 543,979.21 = 258,078.57 : x
  2. Step 2: Convert to fraction form
    394,123.64/543,979.21 = 258,078.57/x
  3. Step 3: Cross multiply
    394,123.64x = 543,979.21 × 258,078.57
  4. Step 4: Simplify right side
    394,123.64x = 140,389,376,234.38
  5. Step 5: Solve for x
    x = 140,389,376,234.38/394,123.64
  6. Step 6: Final answer
    x = 356,206.44

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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.