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Finding the Fourth Proportional to 394,471.20, 591,706.80 and 331,485.60

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Solution

The fourth proportional to 394,471.20, 591,706.80 and 331,485.60 is: 497,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,471.20 : 591,706.80 = 331,485.60 : x
  2. Step 2: Convert to fraction form
    394,471.20/591,706.80 = 331,485.60/x
  3. Step 3: Cross multiply
    394,471.20x = 591,706.80 × 331,485.60
  4. Step 4: Simplify right side
    394,471.20x = 196,142,283,622.08
  5. Step 5: Solve for x
    x = 196,142,283,622.08/394,471.20
  6. Step 6: Final answer
    x = 497,228.40

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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.