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Finding the Fourth Proportional to 301,487.72, 451,640.34 and 174,861.90

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Solution

The fourth proportional to 301,487.72, 451,640.34 and 174,861.90 is: 261,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,487.72 : 451,640.34 = 174,861.90 : x
  2. Step 2: Convert to fraction form
    301,487.72/451,640.34 = 174,861.90/x
  3. Step 3: Cross multiply
    301,487.72x = 451,640.34 × 174,861.90
  4. Step 4: Simplify right side
    301,487.72x = 78,974,687,969.05
  5. Step 5: Solve for x
    x = 78,974,687,969.05/301,487.72
  6. Step 6: Final answer
    x = 261,949.94

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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.