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Finding the Fourth Proportional to 276,406, 414,611.36 and 76,741.96

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Solution

The fourth proportional to 276,406, 414,611.36 and 76,741.96 is: 115,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,406 : 414,611.36 = 76,741.96 : x
  2. Step 2: Convert to fraction form
    276,406/414,611.36 = 76,741.96/x
  3. Step 3: Cross multiply
    276,406x = 414,611.36 × 76,741.96
  4. Step 4: Simplify right side
    276,406x = 31,818,088,020.96
  5. Step 5: Solve for x
    x = 31,818,088,020.96/276,406
  6. Step 6: Final answer
    x = 115,113.59

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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.