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Finding the Fourth Proportional to 305,198.82, 421,157.21 and 169,224.66

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Solution

The fourth proportional to 305,198.82, 421,157.21 and 169,224.66 is: 233,520.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,198.82 : 421,157.21 = 169,224.66 : x
  2. Step 2: Convert to fraction form
    305,198.82/421,157.21 = 169,224.66/x
  3. Step 3: Cross multiply
    305,198.82x = 421,157.21 × 169,224.66
  4. Step 4: Simplify right side
    305,198.82x = 71,270,184,822.68
  5. Step 5: Solve for x
    x = 71,270,184,822.68/305,198.82
  6. Step 6: Final answer
    x = 233,520.51

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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.