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Finding the Fourth Proportional to 427,244.20, 640,866.30 and 409,042.60

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Solution

The fourth proportional to 427,244.20, 640,866.30 and 409,042.60 is: 613,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,244.20 : 640,866.30 = 409,042.60 : x
  2. Step 2: Convert to fraction form
    427,244.20/640,866.30 = 409,042.60/x
  3. Step 3: Cross multiply
    427,244.20x = 640,866.30 × 409,042.60
  4. Step 4: Simplify right side
    427,244.20x = 262,141,617,604.38
  5. Step 5: Solve for x
    x = 262,141,617,604.38/427,244.20
  6. Step 6: Final answer
    x = 613,563.90

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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.