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Finding the Fourth Proportional to 321,524.86, 443,448.30 and 206,816.62

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Solution

The fourth proportional to 321,524.86, 443,448.30 and 206,816.62 is: 285,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,524.86 : 443,448.30 = 206,816.62 : x
  2. Step 2: Convert to fraction form
    321,524.86/443,448.30 = 206,816.62/x
  3. Step 3: Cross multiply
    321,524.86x = 443,448.30 × 206,816.62
  4. Step 4: Simplify right side
    321,524.86x = 91,712,478,550.75
  5. Step 5: Solve for x
    x = 91,712,478,550.75/321,524.86
  6. Step 6: Final answer
    x = 285,242.26

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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.