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Finding the Fourth Proportional to 437,515.40, 656,564.70 and 200,736.20

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Solution

The fourth proportional to 437,515.40, 656,564.70 and 200,736.20 is: 301,238.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,515.40 : 656,564.70 = 200,736.20 : x
  2. Step 2: Convert to fraction form
    437,515.40/656,564.70 = 200,736.20/x
  3. Step 3: Cross multiply
    437,515.40x = 656,564.70 × 200,736.20
  4. Step 4: Simplify right side
    437,515.40x = 131,796,302,932.14
  5. Step 5: Solve for x
    x = 131,796,302,932.14/437,515.40
  6. Step 6: Final answer
    x = 301,238.09

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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.