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Finding the Fourth Proportional to 422,502.82, 583,034.86 and 231,512.11

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Solution

The fourth proportional to 422,502.82, 583,034.86 and 231,512.11 is: 319,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,502.82 : 583,034.86 = 231,512.11 : x
  2. Step 2: Convert to fraction form
    422,502.82/583,034.86 = 231,512.11/x
  3. Step 3: Cross multiply
    422,502.82x = 583,034.86 × 231,512.11
  4. Step 4: Simplify right side
    422,502.82x = 134,979,629,473.96
  5. Step 5: Solve for x
    x = 134,979,629,473.96/422,502.82
  6. Step 6: Final answer
    x = 319,476.28

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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.