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Finding the Fourth Proportional to 744,864, 1,027,912.32 and 405,334.68

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Solution

The fourth proportional to 744,864, 1,027,912.32 and 405,334.68 is: 559,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,864 : 1,027,912.32 = 405,334.68 : x
  2. Step 2: Convert to fraction form
    744,864/1,027,912.32 = 405,334.68/x
  3. Step 3: Cross multiply
    744,864x = 1,027,912.32 × 405,334.68
  4. Step 4: Simplify right side
    744,864x = 416,648,511,295.26
  5. Step 5: Solve for x
    x = 416,648,511,295.26/744,864
  6. Step 6: Final answer
    x = 559,361.86

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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.