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Finding the Fourth Proportional to 311,079.60, 465,744.60 and 279,586.80

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Solution

The fourth proportional to 311,079.60, 465,744.60 and 279,586.80 is: 418,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,079.60 : 465,744.60 = 279,586.80 : x
  2. Step 2: Convert to fraction form
    311,079.60/465,744.60 = 279,586.80/x
  3. Step 3: Cross multiply
    311,079.60x = 465,744.60 × 279,586.80
  4. Step 4: Simplify right side
    311,079.60x = 130,216,042,331.28
  5. Step 5: Solve for x
    x = 130,216,042,331.28/311,079.60
  6. Step 6: Final answer
    x = 418,593.96

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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.