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Finding the Fourth Proportional to 276,820.10, 414,902.10 and 143,631.80

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Solution

The fourth proportional to 276,820.10, 414,902.10 and 143,631.80 is: 215,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,820.10 : 414,902.10 = 143,631.80 : x
  2. Step 2: Convert to fraction form
    276,820.10/414,902.10 = 143,631.80/x
  3. Step 3: Cross multiply
    276,820.10x = 414,902.10 × 143,631.80
  4. Step 4: Simplify right side
    276,820.10x = 59,593,135,446.78
  5. Step 5: Solve for x
    x = 59,593,135,446.78/276,820.10
  6. Step 6: Final answer
    x = 215,277.49

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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.