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Finding the Fourth Proportional to 427,288.20, 640,932.30 and 267,855.90

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Solution

The fourth proportional to 427,288.20, 640,932.30 and 267,855.90 is: 401,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,288.20 : 640,932.30 = 267,855.90 : x
  2. Step 2: Convert to fraction form
    427,288.20/640,932.30 = 267,855.90/x
  3. Step 3: Cross multiply
    427,288.20x = 640,932.30 × 267,855.90
  4. Step 4: Simplify right side
    427,288.20x = 171,677,498,055.57
  5. Step 5: Solve for x
    x = 171,677,498,055.57/427,288.20
  6. Step 6: Final answer
    x = 401,783.85

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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.