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Finding the Fourth Proportional to 311,409.44, 429,745.01 and 168,169.48

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Solution

The fourth proportional to 311,409.44, 429,745.01 and 168,169.48 is: 232,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,409.44 : 429,745.01 = 168,169.48 : x
  2. Step 2: Convert to fraction form
    311,409.44/429,745.01 = 168,169.48/x
  3. Step 3: Cross multiply
    311,409.44x = 429,745.01 × 168,169.48
  4. Step 4: Simplify right side
    311,409.44x = 72,269,993,789.90
  5. Step 5: Solve for x
    x = 72,269,993,789.90/311,409.44
  6. Step 6: Final answer
    x = 232,073.87

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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.