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Finding the Fourth Proportional to 286,960.92, 396,489.90 and 206,227.81

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Solution

The fourth proportional to 286,960.92, 396,489.90 and 206,227.81 is: 284,942.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,960.92 : 396,489.90 = 206,227.81 : x
  2. Step 2: Convert to fraction form
    286,960.92/396,489.90 = 206,227.81/x
  3. Step 3: Cross multiply
    286,960.92x = 396,489.90 × 206,227.81
  4. Step 4: Simplify right side
    286,960.92x = 81,767,243,764.12
  5. Step 5: Solve for x
    x = 81,767,243,764.12/286,960.92
  6. Step 6: Final answer
    x = 284,942.09

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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.