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Finding the Fourth Proportional to 253,489.88, 380,103.60 and 135,129.44

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Solution

The fourth proportional to 253,489.88, 380,103.60 and 135,129.44 is: 202,624.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,489.88 : 380,103.60 = 135,129.44 : x
  2. Step 2: Convert to fraction form
    253,489.88/380,103.60 = 135,129.44/x
  3. Step 3: Cross multiply
    253,489.88x = 380,103.60 × 135,129.44
  4. Step 4: Simplify right side
    253,489.88x = 51,363,186,609.98
  5. Step 5: Solve for x
    x = 51,363,186,609.98/253,489.88
  6. Step 6: Final answer
    x = 202,624.21

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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.