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Finding the Fourth Proportional to 274,378.48, 378,701.44 and 166,983.16

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Solution

The fourth proportional to 274,378.48, 378,701.44 and 166,983.16 is: 230,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,378.48 : 378,701.44 = 166,983.16 : x
  2. Step 2: Convert to fraction form
    274,378.48/378,701.44 = 166,983.16/x
  3. Step 3: Cross multiply
    274,378.48x = 378,701.44 × 166,983.16
  4. Step 4: Simplify right side
    274,378.48x = 63,236,763,147.75
  5. Step 5: Solve for x
    x = 63,236,763,147.75/274,378.48
  6. Step 6: Final answer
    x = 230,472.75

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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.