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Finding the Fourth Proportional to 278,504.92, 384,345.94 and 157,643.61

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Solution

The fourth proportional to 278,504.92, 384,345.94 and 157,643.61 is: 217,553.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,504.92 : 384,345.94 = 157,643.61 : x
  2. Step 2: Convert to fraction form
    278,504.92/384,345.94 = 157,643.61/x
  3. Step 3: Cross multiply
    278,504.92x = 384,345.94 × 157,643.61
  4. Step 4: Simplify right side
    278,504.92x = 60,589,682,376.54
  5. Step 5: Solve for x
    x = 60,589,682,376.54/278,504.92
  6. Step 6: Final answer
    x = 217,553.36

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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.