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Finding the Fourth Proportional to 321,460.56, 443,404.26 and 206,558.28

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Solution

The fourth proportional to 321,460.56, 443,404.26 and 206,558.28 is: 284,914.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,460.56 : 443,404.26 = 206,558.28 : x
  2. Step 2: Convert to fraction form
    321,460.56/443,404.26 = 206,558.28/x
  3. Step 3: Cross multiply
    321,460.56x = 443,404.26 × 206,558.28
  4. Step 4: Simplify right side
    321,460.56x = 91,588,821,290.27
  5. Step 5: Solve for x
    x = 91,588,821,290.27/321,460.56
  6. Step 6: Final answer
    x = 284,914.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.