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Finding the Fourth Proportional to 422,874.72, 583,575.12 and 231,876.72

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Solution

The fourth proportional to 422,874.72, 583,575.12 and 231,876.72 is: 319,994.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,874.72 : 583,575.12 = 231,876.72 : x
  2. Step 2: Convert to fraction form
    422,874.72/583,575.12 = 231,876.72/x
  3. Step 3: Cross multiply
    422,874.72x = 583,575.12 × 231,876.72
  4. Step 4: Simplify right side
    422,874.72x = 135,317,484,699.21
  5. Step 5: Solve for x
    x = 135,317,484,699.21/422,874.72
  6. Step 6: Final answer
    x = 319,994.26

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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.