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Finding the Fourth Proportional to 222,464.78, 333,694.38 and 53,986.50

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Solution

The fourth proportional to 222,464.78, 333,694.38 and 53,986.50 is: 80,979.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,464.78 : 333,694.38 = 53,986.50 : x
  2. Step 2: Convert to fraction form
    222,464.78/333,694.38 = 53,986.50/x
  3. Step 3: Cross multiply
    222,464.78x = 333,694.38 × 53,986.50
  4. Step 4: Simplify right side
    222,464.78x = 18,014,991,848.32
  5. Step 5: Solve for x
    x = 18,014,991,848.32/222,464.78
  6. Step 6: Final answer
    x = 80,979.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.