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Finding the Fourth Proportional to 644,324.34, 966,519.86 and 164,556.61

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Solution

The fourth proportional to 644,324.34, 966,519.86 and 164,556.61 is: 246,843.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,324.34 : 966,519.86 = 164,556.61 : x
  2. Step 2: Convert to fraction form
    644,324.34/966,519.86 = 164,556.61/x
  3. Step 3: Cross multiply
    644,324.34x = 966,519.86 × 164,556.61
  4. Step 4: Simplify right side
    644,324.34x = 159,047,231,659.28
  5. Step 5: Solve for x
    x = 159,047,231,659.28/644,324.34
  6. Step 6: Final answer
    x = 246,843.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.