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Finding the Fourth Proportional to 422,237.94, 633,398.40 and 122,721

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Solution

The fourth proportional to 422,237.94, 633,398.40 and 122,721 is: 184,093.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,237.94 : 633,398.40 = 122,721 : x
  2. Step 2: Convert to fraction form
    422,237.94/633,398.40 = 122,721/x
  3. Step 3: Cross multiply
    422,237.94x = 633,398.40 × 122,721
  4. Step 4: Simplify right side
    422,237.94x = 77,731,285,046.40
  5. Step 5: Solve for x
    x = 77,731,285,046.40/422,237.94
  6. Step 6: Final answer
    x = 184,093.56

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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.