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Finding the Fourth Proportional to 491,297.47, 735,765.22 and 280,295.71

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Solution

The fourth proportional to 491,297.47, 735,765.22 and 280,295.71 is: 419,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,297.47 : 735,765.22 = 280,295.71 : x
  2. Step 2: Convert to fraction form
    491,297.47/735,765.22 = 280,295.71/x
  3. Step 3: Cross multiply
    491,297.47x = 735,765.22 × 280,295.71
  4. Step 4: Simplify right side
    491,297.47x = 206,231,834,733.21
  5. Step 5: Solve for x
    x = 206,231,834,733.21/491,297.47
  6. Step 6: Final answer
    x = 419,769.79

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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.