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Finding the Fourth Proportional to 274,286.42, 378,362.84 and 159,552.16

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Solution

The fourth proportional to 274,286.42, 378,362.84 and 159,552.16 is: 220,093.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,286.42 : 378,362.84 = 159,552.16 : x
  2. Step 2: Convert to fraction form
    274,286.42/378,362.84 = 159,552.16/x
  3. Step 3: Cross multiply
    274,286.42x = 378,362.84 × 159,552.16
  4. Step 4: Simplify right side
    274,286.42x = 60,368,606,493.92
  5. Step 5: Solve for x
    x = 60,368,606,493.92/274,286.42
  6. Step 6: Final answer
    x = 220,093.31

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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.