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Finding the Fourth Proportional to 305,906.16, 422,503.74 and 203,763.36

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Solution

The fourth proportional to 305,906.16, 422,503.74 and 203,763.36 is: 281,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,906.16 : 422,503.74 = 203,763.36 : x
  2. Step 2: Convert to fraction form
    305,906.16/422,503.74 = 203,763.36/x
  3. Step 3: Cross multiply
    305,906.16x = 422,503.74 × 203,763.36
  4. Step 4: Simplify right side
    305,906.16x = 86,090,781,674.97
  5. Step 5: Solve for x
    x = 86,090,781,674.97/305,906.16
  6. Step 6: Final answer
    x = 281,428.73

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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.