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Finding the Fourth Proportional to 491,299.35, 735,768.04 and 280,297.59

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Solution

The fourth proportional to 491,299.35, 735,768.04 and 280,297.59 is: 419,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,299.35 : 735,768.04 = 280,297.59 : x
  2. Step 2: Convert to fraction form
    491,299.35/735,768.04 = 280,297.59/x
  3. Step 3: Cross multiply
    491,299.35x = 735,768.04 × 280,297.59
  4. Step 4: Simplify right side
    491,299.35x = 206,234,008,411.02
  5. Step 5: Solve for x
    x = 206,234,008,411.02/491,299.35
  6. Step 6: Final answer
    x = 419,772.61

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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.