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Finding the Fourth Proportional to 276,359.44, 414,539.16 and 76,679.86

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Solution

The fourth proportional to 276,359.44, 414,539.16 and 76,679.86 is: 115,019.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,359.44 : 414,539.16 = 76,679.86 : x
  2. Step 2: Convert to fraction form
    276,359.44/414,539.16 = 76,679.86/x
  3. Step 3: Cross multiply
    276,359.44x = 414,539.16 × 76,679.86
  4. Step 4: Simplify right side
    276,359.44x = 31,786,804,753.32
  5. Step 5: Solve for x
    x = 31,786,804,753.32/276,359.44
  6. Step 6: Final answer
    x = 115,019.79

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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.