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Finding the Fourth Proportional to 306,027.32, 422,290.80 and 170,052.65

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Solution

The fourth proportional to 306,027.32, 422,290.80 and 170,052.65 is: 234,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,027.32 : 422,290.80 = 170,052.65 : x
  2. Step 2: Convert to fraction form
    306,027.32/422,290.80 = 170,052.65/x
  3. Step 3: Cross multiply
    306,027.32x = 422,290.80 × 170,052.65
  4. Step 4: Simplify right side
    306,027.32x = 71,811,667,499.17
  5. Step 5: Solve for x
    x = 71,811,667,499.17/306,027.32
  6. Step 6: Final answer
    x = 234,657.71

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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.