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Finding the Fourth Proportional to 394,636.80, 591,998.40 and 382,195.20

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Solution

The fourth proportional to 394,636.80, 591,998.40 and 382,195.20 is: 573,334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,636.80 : 591,998.40 = 382,195.20 : x
  2. Step 2: Convert to fraction form
    394,636.80/591,998.40 = 382,195.20/x
  3. Step 3: Cross multiply
    394,636.80x = 591,998.40 × 382,195.20
  4. Step 4: Simplify right side
    394,636.80x = 226,258,946,887.68
  5. Step 5: Solve for x
    x = 226,258,946,887.68/394,636.80
  6. Step 6: Final answer
    x = 573,334.64

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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.