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Finding the Fourth Proportional to 422,819.06, 583,486.08 and 231,832

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Solution

The fourth proportional to 422,819.06, 583,486.08 and 231,832 is: 319,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,819.06 : 583,486.08 = 231,832 : x
  2. Step 2: Convert to fraction form
    422,819.06/583,486.08 = 231,832/x
  3. Step 3: Cross multiply
    422,819.06x = 583,486.08 × 231,832
  4. Step 4: Simplify right side
    422,819.06x = 135,270,744,898.56
  5. Step 5: Solve for x
    x = 135,270,744,898.56/422,819.06
  6. Step 6: Final answer
    x = 319,925.84

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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.