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Finding the Fourth Proportional to 321,855.21, 444,057.44 and 185,871.20

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Solution

The fourth proportional to 321,855.21, 444,057.44 and 185,871.20 is: 256,442.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,855.21 : 444,057.44 = 185,871.20 : x
  2. Step 2: Convert to fraction form
    321,855.21/444,057.44 = 185,871.20/x
  3. Step 3: Cross multiply
    321,855.21x = 444,057.44 × 185,871.20
  4. Step 4: Simplify right side
    321,855.21x = 82,537,486,092.08
  5. Step 5: Solve for x
    x = 82,537,486,092.08/321,855.21
  6. Step 6: Final answer
    x = 256,442.91

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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.