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Finding the Fourth Proportional to 399,650.82, 599,771.48 and 189,288.75

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Solution

The fourth proportional to 399,650.82, 599,771.48 and 189,288.75 is: 284,072.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,650.82 : 599,771.48 = 189,288.75 : x
  2. Step 2: Convert to fraction form
    399,650.82/599,771.48 = 189,288.75/x
  3. Step 3: Cross multiply
    399,650.82x = 599,771.48 × 189,288.75
  4. Step 4: Simplify right side
    399,650.82x = 113,529,992,788.41
  5. Step 5: Solve for x
    x = 113,529,992,788.41/399,650.82
  6. Step 6: Final answer
    x = 284,072.96

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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.