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Finding the Fourth Proportional to 811,847, 1,120,351.05 and 449,295.86

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Solution

The fourth proportional to 811,847, 1,120,351.05 and 449,295.86 is: 620,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,847 : 1,120,351.05 = 449,295.86 : x
  2. Step 2: Convert to fraction form
    811,847/1,120,351.05 = 449,295.86/x
  3. Step 3: Cross multiply
    811,847x = 1,120,351.05 × 449,295.86
  4. Step 4: Simplify right side
    811,847x = 503,369,086,265.17
  5. Step 5: Solve for x
    x = 503,369,086,265.17/811,847
  6. Step 6: Final answer
    x = 620,029.50

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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.