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Finding the Fourth Proportional to 321,871.81, 444,162.39 and 201,005.84

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Solution

The fourth proportional to 321,871.81, 444,162.39 and 201,005.84 is: 277,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,871.81 : 444,162.39 = 201,005.84 : x
  2. Step 2: Convert to fraction form
    321,871.81/444,162.39 = 201,005.84/x
  3. Step 3: Cross multiply
    321,871.81x = 444,162.39 × 201,005.84
  4. Step 4: Simplify right side
    321,871.81x = 89,279,234,298.36
  5. Step 5: Solve for x
    x = 89,279,234,298.36/321,871.81
  6. Step 6: Final answer
    x = 277,375.13

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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.