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Finding the Fourth Proportional to 324,013.80, 486,020.70 and 311,766.60

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Solution

The fourth proportional to 324,013.80, 486,020.70 and 311,766.60 is: 467,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,013.80 : 486,020.70 = 311,766.60 : x
  2. Step 2: Convert to fraction form
    324,013.80/486,020.70 = 311,766.60/x
  3. Step 3: Cross multiply
    324,013.80x = 486,020.70 × 311,766.60
  4. Step 4: Simplify right side
    324,013.80x = 151,525,021,168.62
  5. Step 5: Solve for x
    x = 151,525,021,168.62/324,013.80
  6. Step 6: Final answer
    x = 467,649.90

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Similar ratio
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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.