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Finding the Fourth Proportional to 324,906.48, 447,930 and 227,978.64

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Solution

The fourth proportional to 324,906.48, 447,930 and 227,978.64 is: 314,301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,906.48 : 447,930 = 227,978.64 : x
  2. Step 2: Convert to fraction form
    324,906.48/447,930 = 227,978.64/x
  3. Step 3: Cross multiply
    324,906.48x = 447,930 × 227,978.64
  4. Step 4: Simplify right side
    324,906.48x = 102,118,472,215.20
  5. Step 5: Solve for x
    x = 102,118,472,215.20/324,906.48
  6. Step 6: Final answer
    x = 314,301.13

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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.