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Finding the Fourth Proportional to 221,434.56, 305,578.98 and 120,832.56

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Solution

The fourth proportional to 221,434.56, 305,578.98 and 120,832.56 is: 166,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,434.56 : 305,578.98 = 120,832.56 : x
  2. Step 2: Convert to fraction form
    221,434.56/305,578.98 = 120,832.56/x
  3. Step 3: Cross multiply
    221,434.56x = 305,578.98 × 120,832.56
  4. Step 4: Simplify right side
    221,434.56x = 36,923,890,435.59
  5. Step 5: Solve for x
    x = 36,923,890,435.59/221,434.56
  6. Step 6: Final answer
    x = 166,748.54

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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.