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Finding the Fourth Proportional to 305,721.52, 421,896.78 and 169,755.72

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Solution

The fourth proportional to 305,721.52, 421,896.78 and 169,755.72 is: 234,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,721.52 : 421,896.78 = 169,755.72 : x
  2. Step 2: Convert to fraction form
    305,721.52/421,896.78 = 169,755.72/x
  3. Step 3: Cross multiply
    305,721.52x = 421,896.78 × 169,755.72
  4. Step 4: Simplify right side
    305,721.52x = 71,619,391,654.58
  5. Step 5: Solve for x
    x = 71,619,391,654.58/305,721.52
  6. Step 6: Final answer
    x = 234,263.49

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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.