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Finding the Fourth Proportional to 274,337.13, 378,644.52 and 166,941.78

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Solution

The fourth proportional to 274,337.13, 378,644.52 and 166,941.78 is: 230,415.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,337.13 : 378,644.52 = 166,941.78 : x
  2. Step 2: Convert to fraction form
    274,337.13/378,644.52 = 166,941.78/x
  3. Step 3: Cross multiply
    274,337.13x = 378,644.52 × 166,941.78
  4. Step 4: Simplify right side
    274,337.13x = 63,211,590,156.05
  5. Step 5: Solve for x
    x = 63,211,590,156.05/274,337.13
  6. Step 6: Final answer
    x = 230,415.73

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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.