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Finding the Fourth Proportional to 311,972.80, 467,959.20 and 170,255.20

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Solution

The fourth proportional to 311,972.80, 467,959.20 and 170,255.20 is: 255,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,972.80 : 467,959.20 = 170,255.20 : x
  2. Step 2: Convert to fraction form
    311,972.80/467,959.20 = 170,255.20/x
  3. Step 3: Cross multiply
    311,972.80x = 467,959.20 × 170,255.20
  4. Step 4: Simplify right side
    311,972.80x = 79,672,487,187.84
  5. Step 5: Solve for x
    x = 79,672,487,187.84/311,972.80
  6. Step 6: Final answer
    x = 255,382.80

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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.