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Finding the Fourth Proportional to 222,356.74, 306,849.90 and 120,380.32

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Solution

The fourth proportional to 222,356.74, 306,849.90 and 120,380.32 is: 166,123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,356.74 : 306,849.90 = 120,380.32 : x
  2. Step 2: Convert to fraction form
    222,356.74/306,849.90 = 120,380.32/x
  3. Step 3: Cross multiply
    222,356.74x = 306,849.90 × 120,380.32
  4. Step 4: Simplify right side
    222,356.74x = 36,938,689,153.97
  5. Step 5: Solve for x
    x = 36,938,689,153.97/222,356.74
  6. Step 6: Final answer
    x = 166,123.54

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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.