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Finding the Fourth Proportional to 422,911.90, 583,624.29 and 231,912.70

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Solution

The fourth proportional to 422,911.90, 583,624.29 and 231,912.70 is: 320,042.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,911.90 : 583,624.29 = 231,912.70 : x
  2. Step 2: Convert to fraction form
    422,911.90/583,624.29 = 231,912.70/x
  3. Step 3: Cross multiply
    422,911.90x = 583,624.29 × 231,912.70
  4. Step 4: Simplify right side
    422,911.90x = 135,349,884,879.48
  5. Step 5: Solve for x
    x = 135,349,884,879.48/422,911.90
  6. Step 6: Final answer
    x = 320,042.74

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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.