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Finding the Fourth Proportional to 222,329.31, 306,813.32 and 120,354.97

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Solution

The fourth proportional to 222,329.31, 306,813.32 and 120,354.97 is: 166,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,329.31 : 306,813.32 = 120,354.97 : x
  2. Step 2: Convert to fraction form
    222,329.31/306,813.32 = 120,354.97/x
  3. Step 3: Cross multiply
    222,329.31x = 306,813.32 × 120,354.97
  4. Step 4: Simplify right side
    222,329.31x = 36,926,505,788.36
  5. Step 5: Solve for x
    x = 36,926,505,788.36/222,329.31
  6. Step 6: Final answer
    x = 166,089.24

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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.