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Finding the Fourth Proportional to 312,844.50, 431,722.85 and 169,600.86

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Solution

The fourth proportional to 312,844.50, 431,722.85 and 169,600.86 is: 234,047.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,844.50 : 431,722.85 = 169,600.86 : x
  2. Step 2: Convert to fraction form
    312,844.50/431,722.85 = 169,600.86/x
  3. Step 3: Cross multiply
    312,844.50x = 431,722.85 × 169,600.86
  4. Step 4: Simplify right side
    312,844.50x = 73,220,565,793.65
  5. Step 5: Solve for x
    x = 73,220,565,793.65/312,844.50
  6. Step 6: Final answer
    x = 234,047.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.