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Finding the Fourth Proportional to 394,346.80, 591,520.20 and 282,372.40

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Solution

The fourth proportional to 394,346.80, 591,520.20 and 282,372.40 is: 423,558.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,346.80 : 591,520.20 = 282,372.40 : x
  2. Step 2: Convert to fraction form
    394,346.80/591,520.20 = 282,372.40/x
  3. Step 3: Cross multiply
    394,346.80x = 591,520.20 × 282,372.40
  4. Step 4: Simplify right side
    394,346.80x = 167,028,978,522.48
  5. Step 5: Solve for x
    x = 167,028,978,522.48/394,346.80
  6. Step 6: Final answer
    x = 423,558.60

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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.