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Finding the Fourth Proportional to 276,358.72, 414,538.74 and 76,689.82

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Solution

The fourth proportional to 276,358.72, 414,538.74 and 76,689.82 is: 115,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,358.72 : 414,538.74 = 76,689.82 : x
  2. Step 2: Convert to fraction form
    276,358.72/414,538.74 = 76,689.82/x
  3. Step 3: Cross multiply
    276,358.72x = 414,538.74 × 76,689.82
  4. Step 4: Simplify right side
    276,358.72x = 31,790,901,353.63
  5. Step 5: Solve for x
    x = 31,790,901,353.63/276,358.72
  6. Step 6: Final answer
    x = 115,034.91

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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.