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Finding the Fourth Proportional to 266,326.48, 399,545.61 and 76,786.48

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Solution

The fourth proportional to 266,326.48, 399,545.61 and 76,786.48 is: 115,195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,326.48 : 399,545.61 = 76,786.48 : x
  2. Step 2: Convert to fraction form
    266,326.48/399,545.61 = 76,786.48/x
  3. Step 3: Cross multiply
    266,326.48x = 399,545.61 × 76,786.48
  4. Step 4: Simplify right side
    266,326.48x = 30,679,701,634.76
  5. Step 5: Solve for x
    x = 30,679,701,634.76/266,326.48
  6. Step 6: Final answer
    x = 115,195.84

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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.