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Finding the Fourth Proportional to 394,418.40, 591,627.60 and 288,664.80

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Solution

The fourth proportional to 394,418.40, 591,627.60 and 288,664.80 is: 432,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,418.40 : 591,627.60 = 288,664.80 : x
  2. Step 2: Convert to fraction form
    394,418.40/591,627.60 = 288,664.80/x
  3. Step 3: Cross multiply
    394,418.40x = 591,627.60 × 288,664.80
  4. Step 4: Simplify right side
    394,418.40x = 170,782,062,828.48
  5. Step 5: Solve for x
    x = 170,782,062,828.48/394,418.40
  6. Step 6: Final answer
    x = 432,997.20

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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.