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Finding the Fourth Proportional to 422,727.82, 633,907.41 and 159,887.50

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Solution

The fourth proportional to 422,727.82, 633,907.41 and 159,887.50 is: 239,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,727.82 : 633,907.41 = 159,887.50 : x
  2. Step 2: Convert to fraction form
    422,727.82/633,907.41 = 159,887.50/x
  3. Step 3: Cross multiply
    422,727.82x = 633,907.41 × 159,887.50
  4. Step 4: Simplify right side
    422,727.82x = 101,353,871,016.38
  5. Step 5: Solve for x
    x = 101,353,871,016.38/422,727.82
  6. Step 6: Final answer
    x = 239,761.54

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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.