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Finding the Fourth Proportional to 305,974.32, 422,238.60 and 170,002.32

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Solution

The fourth proportional to 305,974.32, 422,238.60 and 170,002.32 is: 234,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,974.32 : 422,238.60 = 170,002.32 : x
  2. Step 2: Convert to fraction form
    305,974.32/422,238.60 = 170,002.32/x
  3. Step 3: Cross multiply
    305,974.32x = 422,238.60 × 170,002.32
  4. Step 4: Simplify right side
    305,974.32x = 71,781,541,593.55
  5. Step 5: Solve for x
    x = 71,781,541,593.55/305,974.32
  6. Step 6: Final answer
    x = 234,599.89

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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.