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Finding the Fourth Proportional to 305,806.94, 422,023.41 and 169,842.51

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Solution

The fourth proportional to 305,806.94, 422,023.41 and 169,842.51 is: 234,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,806.94 : 422,023.41 = 169,842.51 : x
  2. Step 2: Convert to fraction form
    305,806.94/422,023.41 = 169,842.51/x
  3. Step 3: Cross multiply
    305,806.94x = 422,023.41 × 169,842.51
  4. Step 4: Simplify right side
    305,806.94x = 71,677,515,233.16
  5. Step 5: Solve for x
    x = 71,677,515,233.16/305,806.94
  6. Step 6: Final answer
    x = 234,388.13

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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.