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Finding the Fourth Proportional to 276,961.86, 415,512.84 and 77,282.16

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Solution

The fourth proportional to 276,961.86, 415,512.84 and 77,282.16 is: 115,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,961.86 : 415,512.84 = 77,282.16 : x
  2. Step 2: Convert to fraction form
    276,961.86/415,512.84 = 77,282.16/x
  3. Step 3: Cross multiply
    276,961.86x = 415,512.84 × 77,282.16
  4. Step 4: Simplify right side
    276,961.86x = 32,111,729,782.93
  5. Step 5: Solve for x
    x = 32,111,729,782.93/276,961.86
  6. Step 6: Final answer
    x = 115,942.79

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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.