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Finding the Fourth Proportional to 712,163.50, 982,785.63 and 394,211.50

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Solution

The fourth proportional to 712,163.50, 982,785.63 and 394,211.50 is: 544,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,163.50 : 982,785.63 = 394,211.50 : x
  2. Step 2: Convert to fraction form
    712,163.50/982,785.63 = 394,211.50/x
  3. Step 3: Cross multiply
    712,163.50x = 982,785.63 × 394,211.50
  4. Step 4: Simplify right side
    712,163.50x = 387,425,397,380.75
  5. Step 5: Solve for x
    x = 387,425,397,380.75/712,163.50
  6. Step 6: Final answer
    x = 544,011.87

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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.