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Finding the Fourth Proportional to 491,317.22, 735,794.82 and 280,315.46

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Solution

The fourth proportional to 491,317.22, 735,794.82 and 280,315.46 is: 419,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,317.22 : 735,794.82 = 280,315.46 : x
  2. Step 2: Convert to fraction form
    491,317.22/735,794.82 = 280,315.46/x
  3. Step 3: Cross multiply
    491,317.22x = 735,794.82 × 280,315.46
  4. Step 4: Simplify right side
    491,317.22x = 206,254,663,433.92
  5. Step 5: Solve for x
    x = 206,254,663,433.92/491,317.22
  6. Step 6: Final answer
    x = 419,799.38

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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.