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Finding the Fourth Proportional to 276,079.21, 414,128.09 and 76,382.89

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Solution

The fourth proportional to 276,079.21, 414,128.09 and 76,382.89 is: 114,576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,079.21 : 414,128.09 = 76,382.89 : x
  2. Step 2: Convert to fraction form
    276,079.21/414,128.09 = 76,382.89/x
  3. Step 3: Cross multiply
    276,079.21x = 414,128.09 × 76,382.89
  4. Step 4: Simplify right side
    276,079.21x = 31,632,299,962.47
  5. Step 5: Solve for x
    x = 31,632,299,962.47/276,079.21
  6. Step 6: Final answer
    x = 114,576.90

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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.