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Finding the Fourth Proportional to 305,339.82, 421,375.70 and 169,369.33

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Solution

The fourth proportional to 305,339.82, 421,375.70 and 169,369.33 is: 233,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,339.82 : 421,375.70 = 169,369.33 : x
  2. Step 2: Convert to fraction form
    305,339.82/421,375.70 = 169,369.33/x
  3. Step 3: Cross multiply
    305,339.82x = 421,375.70 × 169,369.33
  4. Step 4: Simplify right side
    305,339.82x = 71,368,119,987.28
  5. Step 5: Solve for x
    x = 71,368,119,987.28/305,339.82
  6. Step 6: Final answer
    x = 233,733.42

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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.