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Finding the Fourth Proportional to 269,713.20, 403,878.60 and 199,210.80

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Solution

The fourth proportional to 269,713.20, 403,878.60 and 199,210.80 is: 298,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,713.20 : 403,878.60 = 199,210.80 : x
  2. Step 2: Convert to fraction form
    269,713.20/403,878.60 = 199,210.80/x
  3. Step 3: Cross multiply
    269,713.20x = 403,878.60 × 199,210.80
  4. Step 4: Simplify right side
    269,713.20x = 80,456,979,008.88
  5. Step 5: Solve for x
    x = 80,456,979,008.88/269,713.20
  6. Step 6: Final answer
    x = 298,305.68

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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.