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Finding the Fourth Proportional to 306,211.44, 422,585.86 and 170,259.34

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Solution

The fourth proportional to 306,211.44, 422,585.86 and 170,259.34 is: 234,965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,211.44 : 422,585.86 = 170,259.34 : x
  2. Step 2: Convert to fraction form
    306,211.44/422,585.86 = 170,259.34/x
  3. Step 3: Cross multiply
    306,211.44x = 422,585.86 × 170,259.34
  4. Step 4: Simplify right side
    306,211.44x = 71,949,189,616.93
  5. Step 5: Solve for x
    x = 71,949,189,616.93/306,211.44
  6. Step 6: Final answer
    x = 234,965.71

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1.5x scale

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.