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Finding the Fourth Proportional to 225,679.46, 311,327.43 and 189,856.40

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Solution

The fourth proportional to 225,679.46, 311,327.43 and 189,856.40 is: 261,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,679.46 : 311,327.43 = 189,856.40 : x
  2. Step 2: Convert to fraction form
    225,679.46/311,327.43 = 189,856.40/x
  3. Step 3: Cross multiply
    225,679.46x = 311,327.43 × 189,856.40
  4. Step 4: Simplify right side
    225,679.46x = 59,107,505,081.05
  5. Step 5: Solve for x
    x = 59,107,505,081.05/225,679.46
  6. Step 6: Final answer
    x = 261,909.10

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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.