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Finding the Fourth Proportional to 427,083, 641,010.87 and 227,571.90

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Solution

The fourth proportional to 427,083, 641,010.87 and 227,571.90 is: 341,563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,083 : 641,010.87 = 227,571.90 : x
  2. Step 2: Convert to fraction form
    427,083/641,010.87 = 227,571.90/x
  3. Step 3: Cross multiply
    427,083x = 641,010.87 × 227,571.90
  4. Step 4: Simplify right side
    427,083x = 145,876,061,606.55
  5. Step 5: Solve for x
    x = 145,876,061,606.55/427,083
  6. Step 6: Final answer
    x = 341,563.73

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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.