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Finding the Fourth Proportional to 311,785.60, 467,764.80 and 206,809.60

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Solution

The fourth proportional to 311,785.60, 467,764.80 and 206,809.60 is: 310,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,785.60 : 467,764.80 = 206,809.60 : x
  2. Step 2: Convert to fraction form
    311,785.60/467,764.80 = 206,809.60/x
  3. Step 3: Cross multiply
    311,785.60x = 467,764.80 × 206,809.60
  4. Step 4: Simplify right side
    311,785.60x = 96,738,251,182.08
  5. Step 5: Solve for x
    x = 96,738,251,182.08/311,785.60
  6. Step 6: Final answer
    x = 310,271.71

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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.