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Finding the Fourth Proportional to 276,928.59, 415,396.22 and 77,236.82

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Solution

The fourth proportional to 276,928.59, 415,396.22 and 77,236.82 is: 115,856.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,928.59 : 415,396.22 = 77,236.82 : x
  2. Step 2: Convert to fraction form
    276,928.59/415,396.22 = 77,236.82/x
  3. Step 3: Cross multiply
    276,928.59x = 415,396.22 × 77,236.82
  4. Step 4: Simplify right side
    276,928.59x = 32,083,880,609.66
  5. Step 5: Solve for x
    x = 32,083,880,609.66/276,928.59
  6. Step 6: Final answer
    x = 115,856.15

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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.