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Finding the Fourth Proportional to 378,115.30, 521,792.94 and 206,035.33

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Solution

The fourth proportional to 378,115.30, 521,792.94 and 206,035.33 is: 284,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,115.30 : 521,792.94 = 206,035.33 : x
  2. Step 2: Convert to fraction form
    378,115.30/521,792.94 = 206,035.33/x
  3. Step 3: Cross multiply
    378,115.30x = 521,792.94 × 206,035.33
  4. Step 4: Simplify right side
    378,115.30x = 107,507,780,584.57
  5. Step 5: Solve for x
    x = 107,507,780,584.57/378,115.30
  6. Step 6: Final answer
    x = 284,325.39

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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.