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Finding the Fourth Proportional to 222,379.27, 333,583.70 and 78,267.71

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Solution

The fourth proportional to 222,379.27, 333,583.70 and 78,267.71 is: 117,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,379.27 : 333,583.70 = 78,267.71 : x
  2. Step 2: Convert to fraction form
    222,379.27/333,583.70 = 78,267.71/x
  3. Step 3: Cross multiply
    222,379.27x = 333,583.70 × 78,267.71
  4. Step 4: Simplify right side
    222,379.27x = 26,108,832,734.95
  5. Step 5: Solve for x
    x = 26,108,832,734.95/222,379.27
  6. Step 6: Final answer
    x = 117,406.78

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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.