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Finding the Fourth Proportional to 305,694.44, 421,871.50 and 169,728.39

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Solution

The fourth proportional to 305,694.44, 421,871.50 and 169,728.39 is: 234,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,694.44 : 421,871.50 = 169,728.39 : x
  2. Step 2: Convert to fraction form
    305,694.44/421,871.50 = 169,728.39/x
  3. Step 3: Cross multiply
    305,694.44x = 421,871.50 × 169,728.39
  4. Step 4: Simplify right side
    305,694.44x = 71,603,570,481.89
  5. Step 5: Solve for x
    x = 71,603,570,481.89/305,694.44
  6. Step 6: Final answer
    x = 234,232.49

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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.