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Finding the Fourth Proportional to 422,755.83, 583,402.91 and 231,765.12

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Solution

The fourth proportional to 422,755.83, 583,402.91 and 231,765.12 is: 319,835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,755.83 : 583,402.91 = 231,765.12 : x
  2. Step 2: Convert to fraction form
    422,755.83/583,402.91 = 231,765.12/x
  3. Step 3: Cross multiply
    422,755.83x = 583,402.91 × 231,765.12
  4. Step 4: Simplify right side
    422,755.83x = 135,212,444,285.67
  5. Step 5: Solve for x
    x = 135,212,444,285.67/422,755.83
  6. Step 6: Final answer
    x = 319,835.79

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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.