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Finding the Fourth Proportional to 422,243.94, 633,407.40 and 122,727

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Solution

The fourth proportional to 422,243.94, 633,407.40 and 122,727 is: 184,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,243.94 : 633,407.40 = 122,727 : x
  2. Step 2: Convert to fraction form
    422,243.94/633,407.40 = 122,727/x
  3. Step 3: Cross multiply
    422,243.94x = 633,407.40 × 122,727
  4. Step 4: Simplify right side
    422,243.94x = 77,736,189,979.80
  5. Step 5: Solve for x
    x = 77,736,189,979.80/422,243.94
  6. Step 6: Final answer
    x = 184,102.56

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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.