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Finding the Fourth Proportional to 305,257.48, 421,256.56 and 169,304.12

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Solution

The fourth proportional to 305,257.48, 421,256.56 and 169,304.12 is: 233,640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,257.48 : 421,256.56 = 169,304.12 : x
  2. Step 2: Convert to fraction form
    305,257.48/421,256.56 = 169,304.12/x
  3. Step 3: Cross multiply
    305,257.48x = 421,256.56 × 169,304.12
  4. Step 4: Simplify right side
    305,257.48x = 71,320,471,185.03
  5. Step 5: Solve for x
    x = 71,320,471,185.03/305,257.48
  6. Step 6: Final answer
    x = 233,640.37

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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.