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Finding the Fourth Proportional to 321,866.39, 444,146.26 and 191,021.47

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Solution

The fourth proportional to 321,866.39, 444,146.26 and 191,021.47 is: 263,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,866.39 : 444,146.26 = 191,021.47 : x
  2. Step 2: Convert to fraction form
    321,866.39/444,146.26 = 191,021.47/x
  3. Step 3: Cross multiply
    321,866.39x = 444,146.26 × 191,021.47
  4. Step 4: Simplify right side
    321,866.39x = 84,841,471,480.20
  5. Step 5: Solve for x
    x = 84,841,471,480.20/321,866.39
  6. Step 6: Final answer
    x = 263,592.21

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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.