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Finding the Fourth Proportional to 305,154.80, 421,138.56 and 169,231.44

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Solution

The fourth proportional to 305,154.80, 421,138.56 and 169,231.44 is: 233,553.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,154.80 : 421,138.56 = 169,231.44 : x
  2. Step 2: Convert to fraction form
    305,154.80/421,138.56 = 169,231.44/x
  3. Step 3: Cross multiply
    305,154.80x = 421,138.56 × 169,231.44
  4. Step 4: Simplify right side
    305,154.80x = 71,269,884,948.33
  5. Step 5: Solve for x
    x = 71,269,884,948.33/305,154.80
  6. Step 6: Final answer
    x = 233,553.22

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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.