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Finding the Fourth Proportional to 305,754.62, 421,955.42 and 169,789.10

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Solution

The fourth proportional to 305,754.62, 421,955.42 and 169,789.10 is: 234,316.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,754.62 : 421,955.42 = 169,789.10 : x
  2. Step 2: Convert to fraction form
    305,754.62/421,955.42 = 169,789.10/x
  3. Step 3: Cross multiply
    305,754.62x = 421,955.42 × 169,789.10
  4. Step 4: Simplify right side
    305,754.62x = 71,643,431,001.92
  5. Step 5: Solve for x
    x = 71,643,431,001.92/305,754.62
  6. Step 6: Final answer
    x = 234,316.76

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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.