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Finding the Fourth Proportional to 491,315.22, 735,791.82 and 280,313.46

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Solution

The fourth proportional to 491,315.22, 735,791.82 and 280,313.46 is: 419,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,315.22 : 735,791.82 = 280,313.46 : x
  2. Step 2: Convert to fraction form
    491,315.22/735,791.82 = 280,313.46/x
  3. Step 3: Cross multiply
    491,315.22x = 735,791.82 × 280,313.46
  4. Step 4: Simplify right side
    491,315.22x = 206,252,350,903.90
  5. Step 5: Solve for x
    x = 206,252,350,903.90/491,315.22
  6. Step 6: Final answer
    x = 419,796.38

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Why These Related Problems?

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