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Finding the Fourth Proportional to 300,757.25, 451,100.76 and 120,835.40

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Solution

The fourth proportional to 300,757.25, 451,100.76 and 120,835.40 is: 181,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,757.25 : 451,100.76 = 120,835.40 : x
  2. Step 2: Convert to fraction form
    300,757.25/451,100.76 = 120,835.40/x
  3. Step 3: Cross multiply
    300,757.25x = 451,100.76 × 120,835.40
  4. Step 4: Simplify right side
    300,757.25x = 54,508,938,745.97
  5. Step 5: Solve for x
    x = 54,508,938,745.97/300,757.25
  6. Step 6: Final answer
    x = 181,238.98

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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.