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Finding the Fourth Proportional to 305,644.32, 421,767.99 and 169,667.52

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Solution

The fourth proportional to 305,644.32, 421,767.99 and 169,667.52 is: 234,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,644.32 : 421,767.99 = 169,667.52 : x
  2. Step 2: Convert to fraction form
    305,644.32/421,767.99 = 169,667.52/x
  3. Step 3: Cross multiply
    305,644.32x = 421,767.99 × 169,667.52
  4. Step 4: Simplify right side
    305,644.32x = 71,560,328,878.68
  5. Step 5: Solve for x
    x = 71,560,328,878.68/305,644.32
  6. Step 6: Final answer
    x = 234,129.42

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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.