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Finding the Fourth Proportional to 285,863.88, 394,429.06 and 164,979.48

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Solution

The fourth proportional to 285,863.88, 394,429.06 and 164,979.48 is: 227,635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,863.88 : 394,429.06 = 164,979.48 : x
  2. Step 2: Convert to fraction form
    285,863.88/394,429.06 = 164,979.48/x
  3. Step 3: Cross multiply
    285,863.88x = 394,429.06 × 164,979.48
  4. Step 4: Simplify right side
    285,863.88x = 65,072,701,215.69
  5. Step 5: Solve for x
    x = 65,072,701,215.69/285,863.88
  6. Step 6: Final answer
    x = 227,635.27

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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.