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Finding the Fourth Proportional to 311,975.60, 468,049.80 and 206,999.60

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Solution

The fourth proportional to 311,975.60, 468,049.80 and 206,999.60 is: 310,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,975.60 : 468,049.80 = 206,999.60 : x
  2. Step 2: Convert to fraction form
    311,975.60/468,049.80 = 206,999.60/x
  3. Step 3: Cross multiply
    311,975.60x = 468,049.80 × 206,999.60
  4. Step 4: Simplify right side
    311,975.60x = 96,886,121,380.08
  5. Step 5: Solve for x
    x = 96,886,121,380.08/311,975.60
  6. Step 6: Final answer
    x = 310,556.73

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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.