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Finding the Fourth Proportional to 274,653, 378,989.24 and 159,956.71

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Solution

The fourth proportional to 274,653, 378,989.24 and 159,956.71 is: 220,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,653 : 378,989.24 = 159,956.71 : x
  2. Step 2: Convert to fraction form
    274,653/378,989.24 = 159,956.71/x
  3. Step 3: Cross multiply
    274,653x = 378,989.24 × 159,956.71
  4. Step 4: Simplify right side
    274,653x = 60,621,870,208.54
  5. Step 5: Solve for x
    x = 60,621,870,208.54/274,653
  6. Step 6: Final answer
    x = 220,721.68

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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.