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Finding the Fourth Proportional to 274,813.40, 379,052.78 and 193,314.44

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Solution

The fourth proportional to 274,813.40, 379,052.78 and 193,314.44 is: 266,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,813.40 : 379,052.78 = 193,314.44 : x
  2. Step 2: Convert to fraction form
    274,813.40/379,052.78 = 193,314.44/x
  3. Step 3: Cross multiply
    274,813.40x = 379,052.78 × 193,314.44
  4. Step 4: Simplify right side
    274,813.40x = 73,276,375,896.14
  5. Step 5: Solve for x
    x = 73,276,375,896.14/274,813.40
  6. Step 6: Final answer
    x = 266,640.48

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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.