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Finding the Fourth Proportional to 274,445.82, 378,689.43 and 161,290.38

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Solution

The fourth proportional to 274,445.82, 378,689.43 and 161,290.38 is: 222,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,445.82 : 378,689.43 = 161,290.38 : x
  2. Step 2: Convert to fraction form
    274,445.82/378,689.43 = 161,290.38/x
  3. Step 3: Cross multiply
    274,445.82x = 378,689.43 × 161,290.38
  4. Step 4: Simplify right side
    274,445.82x = 61,078,962,066.68
  5. Step 5: Solve for x
    x = 61,078,962,066.68/274,445.82
  6. Step 6: Final answer
    x = 222,553.81

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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.