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Finding the Fourth Proportional to 305,229.26, 421,208.40 and 169,262.87

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Solution

The fourth proportional to 305,229.26, 421,208.40 and 169,262.87 is: 233,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,229.26 : 421,208.40 = 169,262.87 : x
  2. Step 2: Convert to fraction form
    305,229.26/421,208.40 = 169,262.87/x
  3. Step 3: Cross multiply
    305,229.26x = 421,208.40 × 169,262.87
  4. Step 4: Simplify right side
    305,229.26x = 71,294,941,180.80
  5. Step 5: Solve for x
    x = 71,294,941,180.80/305,229.26
  6. Step 6: Final answer
    x = 233,578.33

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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.