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Finding the Fourth Proportional to 286,033.98, 394,745.76 and 165,180.36

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Solution

The fourth proportional to 286,033.98, 394,745.76 and 165,180.36 is: 227,959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,033.98 : 394,745.76 = 165,180.36 : x
  2. Step 2: Convert to fraction form
    286,033.98/394,745.76 = 165,180.36/x
  3. Step 3: Cross multiply
    286,033.98x = 394,745.76 × 165,180.36
  4. Step 4: Simplify right side
    286,033.98x = 65,204,246,745.27
  5. Step 5: Solve for x
    x = 65,204,246,745.27/286,033.98
  6. Step 6: Final answer
    x = 227,959.79

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1.5x scale

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.