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Finding the Fourth Proportional to 266,437.20, 399,655.80 and 204,229.20

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Solution

The fourth proportional to 266,437.20, 399,655.80 and 204,229.20 is: 306,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,437.20 : 399,655.80 = 204,229.20 : x
  2. Step 2: Convert to fraction form
    266,437.20/399,655.80 = 204,229.20/x
  3. Step 3: Cross multiply
    266,437.20x = 399,655.80 × 204,229.20
  4. Step 4: Simplify right side
    266,437.20x = 81,621,384,309.36
  5. Step 5: Solve for x
    x = 81,621,384,309.36/266,437.20
  6. Step 6: Final answer
    x = 306,343.80

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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.