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Finding the Fourth Proportional to 313,172.82, 469,755.13 and 76,517.55

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Solution

The fourth proportional to 313,172.82, 469,755.13 and 76,517.55 is: 114,775.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,172.82 : 469,755.13 = 76,517.55 : x
  2. Step 2: Convert to fraction form
    313,172.82/469,755.13 = 76,517.55/x
  3. Step 3: Cross multiply
    313,172.82x = 469,755.13 × 76,517.55
  4. Step 4: Simplify right side
    313,172.82x = 35,944,511,647.53
  5. Step 5: Solve for x
    x = 35,944,511,647.53/313,172.82
  6. Step 6: Final answer
    x = 114,775.32

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1.5x scale

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.