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Finding the Fourth Proportional to 437,628.56, 656,180.37 and 200,674.40

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Solution

The fourth proportional to 437,628.56, 656,180.37 and 200,674.40 is: 300,891.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,628.56 : 656,180.37 = 200,674.40 : x
  2. Step 2: Convert to fraction form
    437,628.56/656,180.37 = 200,674.40/x
  3. Step 3: Cross multiply
    437,628.56x = 656,180.37 × 200,674.40
  4. Step 4: Simplify right side
    437,628.56x = 131,678,598,760.63
  5. Step 5: Solve for x
    x = 131,678,598,760.63/437,628.56
  6. Step 6: Final answer
    x = 300,891.24

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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.