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Finding the Fourth Proportional to 274,616, 378,975.84 and 155,384

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Solution

The fourth proportional to 274,616, 378,975.84 and 155,384 is: 214,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,616 : 378,975.84 = 155,384 : x
  2. Step 2: Convert to fraction form
    274,616/378,975.84 = 155,384/x
  3. Step 3: Cross multiply
    274,616x = 378,975.84 × 155,384
  4. Step 4: Simplify right side
    274,616x = 58,886,781,922.56
  5. Step 5: Solve for x
    x = 58,886,781,922.56/274,616
  6. Step 6: Final answer
    x = 214,433.18

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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.