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Finding the Fourth Proportional to 222,295.89, 306,768.29 and 120,321.32

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Solution

The fourth proportional to 222,295.89, 306,768.29 and 120,321.32 is: 166,043.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,295.89 : 306,768.29 = 120,321.32 : x
  2. Step 2: Convert to fraction form
    222,295.89/306,768.29 = 120,321.32/x
  3. Step 3: Cross multiply
    222,295.89x = 306,768.29 × 120,321.32
  4. Step 4: Simplify right side
    222,295.89x = 36,910,765,586.94
  5. Step 5: Solve for x
    x = 36,910,765,586.94/222,295.89
  6. Step 6: Final answer
    x = 166,043.40

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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.