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Finding the Fourth Proportional to 427,586.86, 641,601.60 and 310,226.86

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Solution

The fourth proportional to 427,586.86, 641,601.60 and 310,226.86 is: 465,500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,586.86 : 641,601.60 = 310,226.86 : x
  2. Step 2: Convert to fraction form
    427,586.86/641,601.60 = 310,226.86/x
  3. Step 3: Cross multiply
    427,586.86x = 641,601.60 × 310,226.86
  4. Step 4: Simplify right side
    427,586.86x = 199,042,049,738.98
  5. Step 5: Solve for x
    x = 199,042,049,738.98/427,586.86
  6. Step 6: Final answer
    x = 465,500.86

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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.