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Finding the Fourth Proportional to 422,242.44, 633,405.15 and 122,725.50

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Solution

The fourth proportional to 422,242.44, 633,405.15 and 122,725.50 is: 184,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,242.44 : 633,405.15 = 122,725.50 : x
  2. Step 2: Convert to fraction form
    422,242.44/633,405.15 = 122,725.50/x
  3. Step 3: Cross multiply
    422,242.44x = 633,405.15 × 122,725.50
  4. Step 4: Simplify right side
    422,242.44x = 77,734,963,736.33
  5. Step 5: Solve for x
    x = 77,734,963,736.33/422,242.44
  6. Step 6: Final answer
    x = 184,100.31

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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.