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Finding the Fourth Proportional to 269,221.80, 403,829.10 and 82,234.20

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Solution

The fourth proportional to 269,221.80, 403,829.10 and 82,234.20 is: 123,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,221.80 : 403,829.10 = 82,234.20 : x
  2. Step 2: Convert to fraction form
    269,221.80/403,829.10 = 82,234.20/x
  3. Step 3: Cross multiply
    269,221.80x = 403,829.10 × 82,234.20
  4. Step 4: Simplify right side
    269,221.80x = 33,208,562,975.22
  5. Step 5: Solve for x
    x = 33,208,562,975.22/269,221.80
  6. Step 6: Final answer
    x = 123,350.20

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1.5x scale

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.