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Finding the Fourth Proportional to 274,003.84, 378,127.92 and 160,828.48

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Solution

The fourth proportional to 274,003.84, 378,127.92 and 160,828.48 is: 221,944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,003.84 : 378,127.92 = 160,828.48 : x
  2. Step 2: Convert to fraction form
    274,003.84/378,127.92 = 160,828.48/x
  3. Step 3: Cross multiply
    274,003.84x = 378,127.92 × 160,828.48
  4. Step 4: Simplify right side
    274,003.84x = 60,813,738,619.16
  5. Step 5: Solve for x
    x = 60,813,738,619.16/274,003.84
  6. Step 6: Final answer
    x = 221,944.84

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1.5x scale

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.