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Finding the Fourth Proportional to 305,105.44, 420,958.48 and 176,033.68

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Solution

The fourth proportional to 305,105.44, 420,958.48 and 176,033.68 is: 242,876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,105.44 : 420,958.48 = 176,033.68 : x
  2. Step 2: Convert to fraction form
    305,105.44/420,958.48 = 176,033.68/x
  3. Step 3: Cross multiply
    305,105.44x = 420,958.48 × 176,033.68
  4. Step 4: Simplify right side
    305,105.44x = 74,102,870,361.61
  5. Step 5: Solve for x
    x = 74,102,870,361.61/305,105.44
  6. Step 6: Final answer
    x = 242,876.27

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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.