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Finding the Fourth Proportional to 274,092.44, 378,255.87 and 153,238.82

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Solution

The fourth proportional to 274,092.44, 378,255.87 and 153,238.82 is: 211,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,092.44 : 378,255.87 = 153,238.82 : x
  2. Step 2: Convert to fraction form
    274,092.44/378,255.87 = 153,238.82/x
  3. Step 3: Cross multiply
    274,092.44x = 378,255.87 × 153,238.82
  4. Step 4: Simplify right side
    274,092.44x = 57,963,481,285.59
  5. Step 5: Solve for x
    x = 57,963,481,285.59/274,092.44
  6. Step 6: Final answer
    x = 211,474.21

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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.