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Finding the Fourth Proportional to 305,859.20, 422,071.41 and 169,901.90

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Solution

The fourth proportional to 305,859.20, 422,071.41 and 169,901.90 is: 234,456.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,859.20 : 422,071.41 = 169,901.90 : x
  2. Step 2: Convert to fraction form
    305,859.20/422,071.41 = 169,901.90/x
  3. Step 3: Cross multiply
    305,859.20x = 422,071.41 × 169,901.90
  4. Step 4: Simplify right side
    305,859.20x = 71,710,734,494.68
  5. Step 5: Solve for x
    x = 71,710,734,494.68/305,859.20
  6. Step 6: Final answer
    x = 234,456.69

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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.