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Finding the Fourth Proportional to 383,965.44, 575,945.70 and 206,556

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Solution

The fourth proportional to 383,965.44, 575,945.70 and 206,556 is: 309,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,965.44 : 575,945.70 = 206,556 : x
  2. Step 2: Convert to fraction form
    383,965.44/575,945.70 = 206,556/x
  3. Step 3: Cross multiply
    383,965.44x = 575,945.70 × 206,556
  4. Step 4: Simplify right side
    383,965.44x = 118,965,040,009.20
  5. Step 5: Solve for x
    x = 118,965,040,009.20/383,965.44
  6. Step 6: Final answer
    x = 309,832.68

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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.