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Finding the Fourth Proportional to 286,150.91, 394,906.74 and 165,297.29

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Solution

The fourth proportional to 286,150.91, 394,906.74 and 165,297.29 is: 228,120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,150.91 : 394,906.74 = 165,297.29 : x
  2. Step 2: Convert to fraction form
    286,150.91/394,906.74 = 165,297.29/x
  3. Step 3: Cross multiply
    286,150.91x = 394,906.74 × 165,297.29
  4. Step 4: Simplify right side
    286,150.91x = 65,277,013,924.73
  5. Step 5: Solve for x
    x = 65,277,013,924.73/286,150.91
  6. Step 6: Final answer
    x = 228,120.94

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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.