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Finding the Fourth Proportional to 276,078.80, 380,962.40 and 161,384.32

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Solution

The fourth proportional to 276,078.80, 380,962.40 and 161,384.32 is: 222,694.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,078.80 : 380,962.40 = 161,384.32 : x
  2. Step 2: Convert to fraction form
    276,078.80/380,962.40 = 161,384.32/x
  3. Step 3: Cross multiply
    276,078.80x = 380,962.40 × 161,384.32
  4. Step 4: Simplify right side
    276,078.80x = 61,481,357,869.57
  5. Step 5: Solve for x
    x = 61,481,357,869.57/276,078.80
  6. Step 6: Final answer
    x = 222,694.96

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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.