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Finding the Fourth Proportional to 266,087.80, 399,326.10 and 177,311.80

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Solution

The fourth proportional to 266,087.80, 399,326.10 and 177,311.80 is: 266,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,087.80 : 399,326.10 = 177,311.80 : x
  2. Step 2: Convert to fraction form
    266,087.80/399,326.10 = 177,311.80/x
  3. Step 3: Cross multiply
    266,087.80x = 399,326.10 × 177,311.80
  4. Step 4: Simplify right side
    266,087.80x = 70,805,229,577.98
  5. Step 5: Solve for x
    x = 70,805,229,577.98/266,087.80
  6. Step 6: Final answer
    x = 266,097.24

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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.