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Finding the Fourth Proportional to 305,794.77, 422,007.26 and 169,830.87

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Solution

The fourth proportional to 305,794.77, 422,007.26 and 169,830.87 is: 234,372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,794.77 : 422,007.26 = 169,830.87 : x
  2. Step 2: Convert to fraction form
    305,794.77/422,007.26 = 169,830.87/x
  3. Step 3: Cross multiply
    305,794.77x = 422,007.26 × 169,830.87
  4. Step 4: Simplify right side
    305,794.77x = 71,669,860,112.12
  5. Step 5: Solve for x
    x = 71,669,860,112.12/305,794.77
  6. Step 6: Final answer
    x = 234,372.42

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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.