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Finding the Fourth Proportional to 437,287.40, 656,222.70 and 200,508.20

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Solution

The fourth proportional to 437,287.40, 656,222.70 and 200,508.20 is: 300,896.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,287.40 : 656,222.70 = 200,508.20 : x
  2. Step 2: Convert to fraction form
    437,287.40/656,222.70 = 200,508.20/x
  3. Step 3: Cross multiply
    437,287.40x = 656,222.70 × 200,508.20
  4. Step 4: Simplify right side
    437,287.40x = 131,578,032,376.14
  5. Step 5: Solve for x
    x = 131,578,032,376.14/437,287.40
  6. Step 6: Final answer
    x = 300,896.01

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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.