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Finding the Fourth Proportional to 422,892, 583,537.32 and 231,855.12

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Solution

The fourth proportional to 422,892, 583,537.32 and 231,855.12 is: 319,930.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,892 : 583,537.32 = 231,855.12 : x
  2. Step 2: Convert to fraction form
    422,892/583,537.32 = 231,855.12/x
  3. Step 3: Cross multiply
    422,892x = 583,537.32 × 231,855.12
  4. Step 4: Simplify right side
    422,892x = 135,296,115,353.08
  5. Step 5: Solve for x
    x = 135,296,115,353.08/422,892
  6. Step 6: Final answer
    x = 319,930.66

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