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Finding the Fourth Proportional to 276,079.80, 380,963.78 and 161,385.32

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Solution

The fourth proportional to 276,079.80, 380,963.78 and 161,385.32 is: 222,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,079.80 : 380,963.78 = 161,385.32 : x
  2. Step 2: Convert to fraction form
    276,079.80/380,963.78 = 161,385.32/x
  3. Step 3: Cross multiply
    276,079.80x = 380,963.78 × 161,385.32
  4. Step 4: Simplify right side
    276,079.80x = 61,481,961,543.71
  5. Step 5: Solve for x
    x = 61,481,961,543.71/276,079.80
  6. Step 6: Final answer
    x = 222,696.34

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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.