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Finding the Fourth Proportional to 276,686.40, 415,029.60 and 274,936.80

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Solution

The fourth proportional to 276,686.40, 415,029.60 and 274,936.80 is: 412,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,686.40 : 415,029.60 = 274,936.80 : x
  2. Step 2: Convert to fraction form
    276,686.40/415,029.60 = 274,936.80/x
  3. Step 3: Cross multiply
    276,686.40x = 415,029.60 × 274,936.80
  4. Step 4: Simplify right side
    276,686.40x = 114,106,910,129.28
  5. Step 5: Solve for x
    x = 114,106,910,129.28/276,686.40
  6. Step 6: Final answer
    x = 412,405.20

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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.