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Finding the Fourth Proportional to 305,255.25, 421,252.25 and 169,310.03

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Solution

The fourth proportional to 305,255.25, 421,252.25 and 169,310.03 is: 233,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,255.25 : 421,252.25 = 169,310.03 : x
  2. Step 2: Convert to fraction form
    305,255.25/421,252.25 = 169,310.03/x
  3. Step 3: Cross multiply
    305,255.25x = 421,252.25 × 169,310.03
  4. Step 4: Simplify right side
    305,255.25x = 71,322,228,132.26
  5. Step 5: Solve for x
    x = 71,322,228,132.26/305,255.25
  6. Step 6: Final answer
    x = 233,647.83

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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.