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Finding the Fourth Proportional to 427,195.31, 640,890.16 and 227,410.43

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Solution

The fourth proportional to 427,195.31, 640,890.16 and 227,410.43 is: 341,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,195.31 : 640,890.16 = 227,410.43 : x
  2. Step 2: Convert to fraction form
    427,195.31/640,890.16 = 227,410.43/x
  3. Step 3: Cross multiply
    427,195.31x = 640,890.16 × 227,410.43
  4. Step 4: Simplify right side
    427,195.31x = 145,745,103,095.39
  5. Step 5: Solve for x
    x = 145,745,103,095.39/427,195.31
  6. Step 6: Final answer
    x = 341,167.38

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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.