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Finding the Fourth Proportional to 321,297.52, 443,438.40 and 185,306.08

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Solution

The fourth proportional to 321,297.52, 443,438.40 and 185,306.08 is: 255,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,297.52 : 443,438.40 = 185,306.08 : x
  2. Step 2: Convert to fraction form
    321,297.52/443,438.40 = 185,306.08/x
  3. Step 3: Cross multiply
    321,297.52x = 443,438.40 × 185,306.08
  4. Step 4: Simplify right side
    321,297.52x = 82,171,831,625.47
  5. Step 5: Solve for x
    x = 82,171,831,625.47/321,297.52
  6. Step 6: Final answer
    x = 255,749.97

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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.