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Finding the Fourth Proportional to 321,226.36, 443,280.42 and 185,266

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Solution

The fourth proportional to 321,226.36, 443,280.42 and 185,266 is: 255,660.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,226.36 : 443,280.42 = 185,266 : x
  2. Step 2: Convert to fraction form
    321,226.36/443,280.42 = 185,266/x
  3. Step 3: Cross multiply
    321,226.36x = 443,280.42 × 185,266
  4. Step 4: Simplify right side
    321,226.36x = 82,124,790,291.72
  5. Step 5: Solve for x
    x = 82,124,790,291.72/321,226.36
  6. Step 6: Final answer
    x = 255,660.18

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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.