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Finding the Fourth Proportional to 253,768.33, 380,554.08 and 135,375.09

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Solution

The fourth proportional to 253,768.33, 380,554.08 and 135,375.09 is: 203,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,768.33 : 380,554.08 = 135,375.09 : x
  2. Step 2: Convert to fraction form
    253,768.33/380,554.08 = 135,375.09/x
  3. Step 3: Cross multiply
    253,768.33x = 380,554.08 × 135,375.09
  4. Step 4: Simplify right side
    253,768.33x = 51,517,542,829.87
  5. Step 5: Solve for x
    x = 51,517,542,829.87/253,768.33
  6. Step 6: Final answer
    x = 203,010.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.