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Finding the Fourth Proportional to 306,304.82, 422,638.68 and 178,955.84

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Solution

The fourth proportional to 306,304.82, 422,638.68 and 178,955.84 is: 246,922.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,304.82 : 422,638.68 = 178,955.84 : x
  2. Step 2: Convert to fraction form
    306,304.82/422,638.68 = 178,955.84/x
  3. Step 3: Cross multiply
    306,304.82x = 422,638.68 × 178,955.84
  4. Step 4: Simplify right side
    306,304.82x = 75,633,659,995.89
  5. Step 5: Solve for x
    x = 75,633,659,995.89/306,304.82
  6. Step 6: Final answer
    x = 246,922.85

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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.