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Finding the Fourth Proportional to 276,078.38, 414,214.76 and 135,935.42

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Solution

The fourth proportional to 276,078.38, 414,214.76 and 135,935.42 is: 203,950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,078.38 : 414,214.76 = 135,935.42 : x
  2. Step 2: Convert to fraction form
    276,078.38/414,214.76 = 135,935.42/x
  3. Step 3: Cross multiply
    276,078.38x = 414,214.76 × 135,935.42
  4. Step 4: Simplify right side
    276,078.38x = 56,306,455,639.56
  5. Step 5: Solve for x
    x = 56,306,455,639.56/276,078.38
  6. Step 6: Final answer
    x = 203,950.98

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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.