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Finding the Fourth Proportional to 305,190.78, 421,168.32 and 169,230.45

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Solution

The fourth proportional to 305,190.78, 421,168.32 and 169,230.45 is: 233,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,190.78 : 421,168.32 = 169,230.45 : x
  2. Step 2: Convert to fraction form
    305,190.78/421,168.32 = 169,230.45/x
  3. Step 3: Cross multiply
    305,190.78x = 421,168.32 × 169,230.45
  4. Step 4: Simplify right side
    305,190.78x = 71,274,504,319.34
  5. Step 5: Solve for x
    x = 71,274,504,319.34/305,190.78
  6. Step 6: Final answer
    x = 233,540.82

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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.