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Finding the Fourth Proportional to 276,591, 414,948.90 and 84,482.64

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Solution

The fourth proportional to 276,591, 414,948.90 and 84,482.64 is: 126,743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,591 : 414,948.90 = 84,482.64 : x
  2. Step 2: Convert to fraction form
    276,591/414,948.90 = 84,482.64/x
  3. Step 3: Cross multiply
    276,591x = 414,948.90 × 84,482.64
  4. Step 4: Simplify right side
    276,591x = 35,055,978,537.10
  5. Step 5: Solve for x
    x = 35,055,978,537.10/276,591
  6. Step 6: Final answer
    x = 126,743.02

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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.