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Finding the Fourth Proportional to 305,725.05, 421,908.48 and 169,764.73

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Solution

The fourth proportional to 305,725.05, 421,908.48 and 169,764.73 is: 234,279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,725.05 : 421,908.48 = 169,764.73 : x
  2. Step 2: Convert to fraction form
    305,725.05/421,908.48 = 169,764.73/x
  3. Step 3: Cross multiply
    305,725.05x = 421,908.48 × 169,764.73
  4. Step 4: Simplify right side
    305,725.05x = 71,625,178,137.14
  5. Step 5: Solve for x
    x = 71,625,178,137.14/305,725.05
  6. Step 6: Final answer
    x = 234,279.72

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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.