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Finding the Fourth Proportional to 437,638.20, 656,194.84 and 200,684.04

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Solution

The fourth proportional to 437,638.20, 656,194.84 and 200,684.04 is: 300,905.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,638.20 : 656,194.84 = 200,684.04 : x
  2. Step 2: Convert to fraction form
    437,638.20/656,194.84 = 200,684.04/x
  3. Step 3: Cross multiply
    437,638.20x = 656,194.84 × 200,684.04
  4. Step 4: Simplify right side
    437,638.20x = 131,687,831,518.35
  5. Step 5: Solve for x
    x = 131,687,831,518.35/437,638.20
  6. Step 6: Final answer
    x = 300,905.71

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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.