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Finding the Fourth Proportional to 221,007.69, 331,678.40 and 177,163.88

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Solution

The fourth proportional to 221,007.69, 331,678.40 and 177,163.88 is: 265,879.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,007.69 : 331,678.40 = 177,163.88 : x
  2. Step 2: Convert to fraction form
    221,007.69/331,678.40 = 177,163.88/x
  3. Step 3: Cross multiply
    221,007.69x = 331,678.40 × 177,163.88
  4. Step 4: Simplify right side
    221,007.69x = 58,761,429,711.98
  5. Step 5: Solve for x
    x = 58,761,429,711.98/221,007.69
  6. Step 6: Final answer
    x = 265,879.57

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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.