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Finding the Fourth Proportional to 276,538.64, 415,055.20 and 141,694.70

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Solution

The fourth proportional to 276,538.64, 415,055.20 and 141,694.70 is: 212,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,538.64 : 415,055.20 = 141,694.70 : x
  2. Step 2: Convert to fraction form
    276,538.64/415,055.20 = 141,694.70/x
  3. Step 3: Cross multiply
    276,538.64x = 415,055.20 × 141,694.70
  4. Step 4: Simplify right side
    276,538.64x = 58,811,122,047.44
  5. Step 5: Solve for x
    x = 58,811,122,047.44/276,538.64
  6. Step 6: Final answer
    x = 212,668.73

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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.