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Finding the Fourth Proportional to 313,172.63, 469,754.85 and 76,517.36

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Solution

The fourth proportional to 313,172.63, 469,754.85 and 76,517.36 is: 114,775.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,172.63 : 469,754.85 = 76,517.36 : x
  2. Step 2: Convert to fraction form
    313,172.63/469,754.85 = 76,517.36/x
  3. Step 3: Cross multiply
    313,172.63x = 469,754.85 × 76,517.36
  4. Step 4: Simplify right side
    313,172.63x = 35,944,400,969.20
  5. Step 5: Solve for x
    x = 35,944,400,969.20/313,172.63
  6. Step 6: Final answer
    x = 114,775.04

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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.