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Finding the Fourth Proportional to 306,496.22, 422,958.16 and 177,440.17

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Solution

The fourth proportional to 306,496.22, 422,958.16 and 177,440.17 is: 244,863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,496.22 : 422,958.16 = 177,440.17 : x
  2. Step 2: Convert to fraction form
    306,496.22/422,958.16 = 177,440.17/x
  3. Step 3: Cross multiply
    306,496.22x = 422,958.16 × 177,440.17
  4. Step 4: Simplify right side
    306,496.22x = 75,049,766,312.29
  5. Step 5: Solve for x
    x = 75,049,766,312.29/306,496.22
  6. Step 6: Final answer
    x = 244,863.59

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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.