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Finding the Fourth Proportional to 306,506.38, 422,972.17 and 177,450.29

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Solution

The fourth proportional to 306,506.38, 422,972.17 and 177,450.29 is: 244,877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,506.38 : 422,972.17 = 177,450.29 : x
  2. Step 2: Convert to fraction form
    306,506.38/422,972.17 = 177,450.29/x
  3. Step 3: Cross multiply
    306,506.38x = 422,972.17 × 177,450.29
  4. Step 4: Simplify right side
    306,506.38x = 75,056,535,507.67
  5. Step 5: Solve for x
    x = 75,056,535,507.67/306,506.38
  6. Step 6: Final answer
    x = 244,877.57

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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.