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Finding the Fourth Proportional to 274,504.82, 378,817.97 and 153,648.50

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Solution

The fourth proportional to 274,504.82, 378,817.97 and 153,648.50 is: 212,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,504.82 : 378,817.97 = 153,648.50 : x
  2. Step 2: Convert to fraction form
    274,504.82/378,817.97 = 153,648.50/x
  3. Step 3: Cross multiply
    274,504.82x = 378,817.97 × 153,648.50
  4. Step 4: Simplify right side
    274,504.82x = 58,204,810,201.21
  5. Step 5: Solve for x
    x = 58,204,810,201.21/274,504.82
  6. Step 6: Final answer
    x = 212,035.66

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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.