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Finding the Fourth Proportional to 437,451.90, 656,469.45 and 200,672.70

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Solution

The fourth proportional to 437,451.90, 656,469.45 and 200,672.70 is: 301,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,451.90 : 656,469.45 = 200,672.70 : x
  2. Step 2: Convert to fraction form
    437,451.90/656,469.45 = 200,672.70/x
  3. Step 3: Cross multiply
    437,451.90x = 656,469.45 × 200,672.70
  4. Step 4: Simplify right side
    437,451.90x = 131,735,496,999.02
  5. Step 5: Solve for x
    x = 131,735,496,999.02/437,451.90
  6. Step 6: Final answer
    x = 301,142.82

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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.