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Finding the Fourth Proportional to 305,806.43, 422,022.72 and 169,842.01

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Solution

The fourth proportional to 305,806.43, 422,022.72 and 169,842.01 is: 234,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,806.43 : 422,022.72 = 169,842.01 : x
  2. Step 2: Convert to fraction form
    305,806.43/422,022.72 = 169,842.01/x
  3. Step 3: Cross multiply
    305,806.43x = 422,022.72 × 169,842.01
  4. Step 4: Simplify right side
    305,806.43x = 71,677,187,717.22
  5. Step 5: Solve for x
    x = 71,677,187,717.22/305,806.43
  6. Step 6: Final answer
    x = 234,387.44

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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.