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Finding the Fourth Proportional to 305,199.54, 421,173.21 and 169,233.42

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Solution

The fourth proportional to 305,199.54, 421,173.21 and 169,233.42 is: 233,540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,199.54 : 421,173.21 = 169,233.42 : x
  2. Step 2: Convert to fraction form
    305,199.54/421,173.21 = 169,233.42/x
  3. Step 3: Cross multiply
    305,199.54x = 421,173.21 × 169,233.42
  4. Step 4: Simplify right side
    305,199.54x = 71,276,582,740.68
  5. Step 5: Solve for x
    x = 71,276,582,740.68/305,199.54
  6. Step 6: Final answer
    x = 233,540.92

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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.