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Finding the Fourth Proportional to 276,643.20, 414,964.80 and 274,893.60

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Solution

The fourth proportional to 276,643.20, 414,964.80 and 274,893.60 is: 412,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,643.20 : 414,964.80 = 274,893.60 : x
  2. Step 2: Convert to fraction form
    276,643.20/414,964.80 = 274,893.60/x
  3. Step 3: Cross multiply
    276,643.20x = 414,964.80 × 274,893.60
  4. Step 4: Simplify right side
    276,643.20x = 114,071,167,745.28
  5. Step 5: Solve for x
    x = 114,071,167,745.28/276,643.20
  6. Step 6: Final answer
    x = 412,340.40

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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.