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Finding the Fourth Proportional to 222,470.69, 307,007.69 and 120,493.78

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Solution

The fourth proportional to 222,470.69, 307,007.69 and 120,493.78 is: 166,280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,470.69 : 307,007.69 = 120,493.78 : x
  2. Step 2: Convert to fraction form
    222,470.69/307,007.69 = 120,493.78/x
  3. Step 3: Cross multiply
    222,470.69x = 307,007.69 × 120,493.78
  4. Step 4: Simplify right side
    222,470.69x = 36,992,515,687.18
  5. Step 5: Solve for x
    x = 36,992,515,687.18/222,470.69
  6. Step 6: Final answer
    x = 166,280.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.