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Finding the Fourth Proportional to 276,380.88, 414,509.40 and 107,905.20

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Solution

The fourth proportional to 276,380.88, 414,509.40 and 107,905.20 is: 161,833.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,380.88 : 414,509.40 = 107,905.20 : x
  2. Step 2: Convert to fraction form
    276,380.88/414,509.40 = 107,905.20/x
  3. Step 3: Cross multiply
    276,380.88x = 414,509.40 × 107,905.20
  4. Step 4: Simplify right side
    276,380.88x = 44,727,719,708.88
  5. Step 5: Solve for x
    x = 44,727,719,708.88/276,380.88
  6. Step 6: Final answer
    x = 161,833.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.