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Finding the Fourth Proportional to 301,020.80, 451,531.19 and 76,382.41

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Solution

The fourth proportional to 301,020.80, 451,531.19 and 76,382.41 is: 114,573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,020.80 : 451,531.19 = 76,382.41 : x
  2. Step 2: Convert to fraction form
    301,020.80/451,531.19 = 76,382.41/x
  3. Step 3: Cross multiply
    301,020.80x = 451,531.19 × 76,382.41
  4. Step 4: Simplify right side
    301,020.80x = 34,489,039,544.50
  5. Step 5: Solve for x
    x = 34,489,039,544.50/301,020.80
  6. Step 6: Final answer
    x = 114,573.61

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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.