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Finding the Fourth Proportional to 305,175.75, 421,147.61 and 169,215.44

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Solution

The fourth proportional to 305,175.75, 421,147.61 and 169,215.44 is: 233,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,175.75 : 421,147.61 = 169,215.44 : x
  2. Step 2: Convert to fraction form
    305,175.75/421,147.61 = 169,215.44/x
  3. Step 3: Cross multiply
    305,175.75x = 421,147.61 × 169,215.44
  4. Step 4: Simplify right side
    305,175.75x = 71,264,675,179.28
  5. Step 5: Solve for x
    x = 71,264,675,179.28/305,175.75
  6. Step 6: Final answer
    x = 233,520.11

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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.