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Finding the Fourth Proportional to 378,144, 521,836.48 and 206,061.60

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Solution

The fourth proportional to 378,144, 521,836.48 and 206,061.60 is: 284,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,144 : 521,836.48 = 206,061.60 : x
  2. Step 2: Convert to fraction form
    378,144/521,836.48 = 206,061.60/x
  3. Step 3: Cross multiply
    378,144x = 521,836.48 × 206,061.60
  4. Step 4: Simplify right side
    378,144x = 107,530,460,007.17
  5. Step 5: Solve for x
    x = 107,530,460,007.17/378,144
  6. Step 6: Final answer
    x = 284,363.79

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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.