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Finding the Fourth Proportional to 437,843.87, 656,765.80 and 201,385.43

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Solution

The fourth proportional to 437,843.87, 656,765.80 and 201,385.43 is: 302,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,843.87 : 656,765.80 = 201,385.43 : x
  2. Step 2: Convert to fraction form
    437,843.87/656,765.80 = 201,385.43/x
  3. Step 3: Cross multiply
    437,843.87x = 656,765.80 × 201,385.43
  4. Step 4: Simplify right side
    437,843.87x = 132,263,063,042.29
  5. Step 5: Solve for x
    x = 132,263,063,042.29/437,843.87
  6. Step 6: Final answer
    x = 302,078.14

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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.