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Finding the Fourth Proportional to 422,038.50, 633,057.75 and 126,550.50

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Solution

The fourth proportional to 422,038.50, 633,057.75 and 126,550.50 is: 189,825.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,038.50 : 633,057.75 = 126,550.50 : x
  2. Step 2: Convert to fraction form
    422,038.50/633,057.75 = 126,550.50/x
  3. Step 3: Cross multiply
    422,038.50x = 633,057.75 × 126,550.50
  4. Step 4: Simplify right side
    422,038.50x = 80,113,774,791.38
  5. Step 5: Solve for x
    x = 80,113,774,791.38/422,038.50
  6. Step 6: Final answer
    x = 189,825.75

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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.