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Finding the Fourth Proportional to 276,389.28, 414,622.80 and 136,149.12

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Solution

The fourth proportional to 276,389.28, 414,622.80 and 136,149.12 is: 204,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,389.28 : 414,622.80 = 136,149.12 : x
  2. Step 2: Convert to fraction form
    276,389.28/414,622.80 = 136,149.12/x
  3. Step 3: Cross multiply
    276,389.28x = 414,622.80 × 136,149.12
  4. Step 4: Simplify right side
    276,389.28x = 56,450,529,351.94
  5. Step 5: Solve for x
    x = 56,450,529,351.94/276,389.28
  6. Step 6: Final answer
    x = 204,242.83

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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.