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Finding the Fourth Proportional to 269,163.56, 403,798.41 and 77,039.79

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Solution

The fourth proportional to 269,163.56, 403,798.41 and 77,039.79 is: 115,574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,163.56 : 403,798.41 = 77,039.79 : x
  2. Step 2: Convert to fraction form
    269,163.56/403,798.41 = 77,039.79/x
  3. Step 3: Cross multiply
    269,163.56x = 403,798.41 × 77,039.79
  4. Step 4: Simplify right side
    269,163.56x = 31,108,544,708.73
  5. Step 5: Solve for x
    x = 31,108,544,708.73/269,163.56
  6. Step 6: Final answer
    x = 115,574.88

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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.