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Finding the Fourth Proportional to 306,103.32, 422,357.76 and 185,221.08

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Solution

The fourth proportional to 306,103.32, 422,357.76 and 185,221.08 is: 255,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,103.32 : 422,357.76 = 185,221.08 : x
  2. Step 2: Convert to fraction form
    306,103.32/422,357.76 = 185,221.08/x
  3. Step 3: Cross multiply
    306,103.32x = 422,357.76 × 185,221.08
  4. Step 4: Simplify right side
    306,103.32x = 78,229,560,453.58
  5. Step 5: Solve for x
    x = 78,229,560,453.58/306,103.32
  6. Step 6: Final answer
    x = 255,565.87

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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.