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Finding the Fourth Proportional to 305,958.63, 422,223.37 and 169,992.71

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Solution

The fourth proportional to 305,958.63, 422,223.37 and 169,992.71 is: 234,590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,958.63 : 422,223.37 = 169,992.71 : x
  2. Step 2: Convert to fraction form
    305,958.63/422,223.37 = 169,992.71/x
  3. Step 3: Cross multiply
    305,958.63x = 422,223.37 × 169,992.71
  4. Step 4: Simplify right side
    305,958.63x = 71,774,893,938.87
  5. Step 5: Solve for x
    x = 71,774,893,938.87/305,958.63
  6. Step 6: Final answer
    x = 234,590.19

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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.