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Finding the Fourth Proportional to 394,433.60, 591,650.40 and 328,823.60

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Solution

The fourth proportional to 394,433.60, 591,650.40 and 328,823.60 is: 493,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,433.60 : 591,650.40 = 328,823.60 : x
  2. Step 2: Convert to fraction form
    394,433.60/591,650.40 = 328,823.60/x
  3. Step 3: Cross multiply
    394,433.60x = 591,650.40 × 328,823.60
  4. Step 4: Simplify right side
    394,433.60x = 194,548,614,469.44
  5. Step 5: Solve for x
    x = 194,548,614,469.44/394,433.60
  6. Step 6: Final answer
    x = 493,235.40

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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.