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Finding the Fourth Proportional to 823,512.40, 1,233,713.40 and 422,789.20

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Solution

The fourth proportional to 823,512.40, 1,233,713.40 and 422,789.20 is: 633,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,512.40 : 1,233,713.40 = 422,789.20 : x
  2. Step 2: Convert to fraction form
    823,512.40/1,233,713.40 = 422,789.20/x
  3. Step 3: Cross multiply
    823,512.40x = 1,233,713.40 × 422,789.20
  4. Step 4: Simplify right side
    823,512.40x = 521,600,701,415.28
  5. Step 5: Solve for x
    x = 521,600,701,415.28/823,512.40
  6. Step 6: Final answer
    x = 633,385.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.