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Finding the Fourth Proportional to 305,887.96, 422,113.64 and 169,930.46

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Solution

The fourth proportional to 305,887.96, 422,113.64 and 169,930.46 is: 234,497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,887.96 : 422,113.64 = 169,930.46 : x
  2. Step 2: Convert to fraction form
    305,887.96/422,113.64 = 169,930.46/x
  3. Step 3: Cross multiply
    305,887.96x = 422,113.64 × 169,930.46
  4. Step 4: Simplify right side
    305,887.96x = 71,729,962,906.91
  5. Step 5: Solve for x
    x = 71,729,962,906.91/305,887.96
  6. Step 6: Final answer
    x = 234,497.51

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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.