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Finding the Fourth Proportional to 324,491.20, 486,736.80 and 230,012.80

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Solution

The fourth proportional to 324,491.20, 486,736.80 and 230,012.80 is: 345,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,491.20 : 486,736.80 = 230,012.80 : x
  2. Step 2: Convert to fraction form
    324,491.20/486,736.80 = 230,012.80/x
  3. Step 3: Cross multiply
    324,491.20x = 486,736.80 × 230,012.80
  4. Step 4: Simplify right side
    324,491.20x = 111,955,694,231.04
  5. Step 5: Solve for x
    x = 111,955,694,231.04/324,491.20
  6. Step 6: Final answer
    x = 345,019.20

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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.