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Finding the Fourth Proportional to 306,065.17, 422,359.81 and 168,244.57

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Solution

The fourth proportional to 306,065.17, 422,359.81 and 168,244.57 is: 232,171.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,065.17 : 422,359.81 = 168,244.57 : x
  2. Step 2: Convert to fraction form
    306,065.17/422,359.81 = 168,244.57/x
  3. Step 3: Cross multiply
    306,065.17x = 422,359.81 × 168,244.57
  4. Step 4: Simplify right side
    306,065.17x = 71,059,744,618.73
  5. Step 5: Solve for x
    x = 71,059,744,618.73/306,065.17
  6. Step 6: Final answer
    x = 232,171.94

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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.