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Finding the Fourth Proportional to 266,556.98, 399,776.43 and 76,976.07

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Solution

The fourth proportional to 266,556.98, 399,776.43 and 76,976.07 is: 115,447.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,556.98 : 399,776.43 = 76,976.07 : x
  2. Step 2: Convert to fraction form
    266,556.98/399,776.43 = 76,976.07/x
  3. Step 3: Cross multiply
    266,556.98x = 399,776.43 × 76,976.07
  4. Step 4: Simplify right side
    266,556.98x = 30,773,218,460.03
  5. Step 5: Solve for x
    x = 30,773,218,460.03/266,556.98
  6. Step 6: Final answer
    x = 115,447.06

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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.