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Finding the Fourth Proportional to 225,690.88, 311,380.20 and 133,817.44

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Solution

The fourth proportional to 225,690.88, 311,380.20 and 133,817.44 is: 184,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,690.88 : 311,380.20 = 133,817.44 : x
  2. Step 2: Convert to fraction form
    225,690.88/311,380.20 = 133,817.44/x
  3. Step 3: Cross multiply
    225,690.88x = 311,380.20 × 133,817.44
  4. Step 4: Simplify right side
    225,690.88x = 41,668,101,230.69
  5. Step 5: Solve for x
    x = 41,668,101,230.69/225,690.88
  6. Step 6: Final answer
    x = 184,624.66

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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.