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Finding the Fourth Proportional to 422,634.80, 583,234.81 and 231,647.60

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Solution

The fourth proportional to 422,634.80, 583,234.81 and 231,647.60 is: 319,673.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,634.80 : 583,234.81 = 231,647.60 : x
  2. Step 2: Convert to fraction form
    422,634.80/583,234.81 = 231,647.60/x
  3. Step 3: Cross multiply
    422,634.80x = 583,234.81 × 231,647.60
  4. Step 4: Simplify right side
    422,634.80x = 135,104,940,477.66
  5. Step 5: Solve for x
    x = 135,104,940,477.66/422,634.80
  6. Step 6: Final answer
    x = 319,673.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.