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Finding the Fourth Proportional to 274,338.66, 378,716.78 and 206,381.52

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Solution

The fourth proportional to 274,338.66, 378,716.78 and 206,381.52 is: 284,903.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,338.66 : 378,716.78 = 206,381.52 : x
  2. Step 2: Convert to fraction form
    274,338.66/378,716.78 = 206,381.52/x
  3. Step 3: Cross multiply
    274,338.66x = 378,716.78 × 206,381.52
  4. Step 4: Simplify right side
    274,338.66x = 78,160,142,812.32
  5. Step 5: Solve for x
    x = 78,160,142,812.32/274,338.66
  6. Step 6: Final answer
    x = 284,903.86

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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.