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Finding the Fourth Proportional to 313,172.69, 469,754.94 and 76,517.42

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Solution

The fourth proportional to 313,172.69, 469,754.94 and 76,517.42 is: 114,775.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,172.69 : 469,754.94 = 76,517.42 : x
  2. Step 2: Convert to fraction form
    313,172.69/469,754.94 = 76,517.42/x
  3. Step 3: Cross multiply
    313,172.69x = 469,754.94 × 76,517.42
  4. Step 4: Simplify right side
    313,172.69x = 35,944,436,041.05
  5. Step 5: Solve for x
    x = 35,944,436,041.05/313,172.69
  6. Step 6: Final answer
    x = 114,775.13

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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.