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Finding the Fourth Proportional to 422,470.70, 633,747.45 and 122,954.30

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Solution

The fourth proportional to 422,470.70, 633,747.45 and 122,954.30 is: 184,443.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,470.70 : 633,747.45 = 122,954.30 : x
  2. Step 2: Convert to fraction form
    422,470.70/633,747.45 = 122,954.30/x
  3. Step 3: Cross multiply
    422,470.70x = 633,747.45 × 122,954.30
  4. Step 4: Simplify right side
    422,470.70x = 77,921,974,091.54
  5. Step 5: Solve for x
    x = 77,921,974,091.54/422,470.70
  6. Step 6: Final answer
    x = 184,443.50

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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.