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Finding the Fourth Proportional to 267,931.20, 401,896.80 and 204,945.60

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Solution

The fourth proportional to 267,931.20, 401,896.80 and 204,945.60 is: 307,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,931.20 : 401,896.80 = 204,945.60 : x
  2. Step 2: Convert to fraction form
    267,931.20/401,896.80 = 204,945.60/x
  3. Step 3: Cross multiply
    267,931.20x = 401,896.80 × 204,945.60
  4. Step 4: Simplify right side
    267,931.20x = 82,366,980,814.08
  5. Step 5: Solve for x
    x = 82,366,980,814.08/267,931.20
  6. Step 6: Final answer
    x = 307,418.40

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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.