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Finding the Fourth Proportional to 301,079.26, 451,619.09 and 76,456.54

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Solution

The fourth proportional to 301,079.26, 451,619.09 and 76,456.54 is: 114,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,079.26 : 451,619.09 = 76,456.54 : x
  2. Step 2: Convert to fraction form
    301,079.26/451,619.09 = 76,456.54/x
  3. Step 3: Cross multiply
    301,079.26x = 451,619.09 × 76,456.54
  4. Step 4: Simplify right side
    301,079.26x = 34,529,230,378.97
  5. Step 5: Solve for x
    x = 34,529,230,378.97/301,079.26
  6. Step 6: Final answer
    x = 114,684.85

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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.