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Finding the Fourth Proportional to 276,814, 415,250.16 and 127,028.80

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Solution

The fourth proportional to 276,814, 415,250.16 and 127,028.80 is: 190,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,814 : 415,250.16 = 127,028.80 : x
  2. Step 2: Convert to fraction form
    276,814/415,250.16 = 127,028.80/x
  3. Step 3: Cross multiply
    276,814x = 415,250.16 × 127,028.80
  4. Step 4: Simplify right side
    276,814x = 52,748,729,524.61
  5. Step 5: Solve for x
    x = 52,748,729,524.61/276,814
  6. Step 6: Final answer
    x = 190,556.58

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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.