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Finding the Fourth Proportional to 313,250.80, 469,876.20 and 188,834.80

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Solution

The fourth proportional to 313,250.80, 469,876.20 and 188,834.80 is: 283,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,250.80 : 469,876.20 = 188,834.80 : x
  2. Step 2: Convert to fraction form
    313,250.80/469,876.20 = 188,834.80/x
  3. Step 3: Cross multiply
    313,250.80x = 469,876.20 × 188,834.80
  4. Step 4: Simplify right side
    313,250.80x = 88,728,978,251.76
  5. Step 5: Solve for x
    x = 88,728,978,251.76/313,250.80
  6. Step 6: Final answer
    x = 283,252.20

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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.