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Finding the Fourth Proportional to 411,208.70, 617,849.85 and 261,520.70

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Solution

The fourth proportional to 411,208.70, 617,849.85 and 261,520.70 is: 392,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,208.70 : 617,849.85 = 261,520.70 : x
  2. Step 2: Convert to fraction form
    411,208.70/617,849.85 = 261,520.70/x
  3. Step 3: Cross multiply
    411,208.70x = 617,849.85 × 261,520.70
  4. Step 4: Simplify right side
    411,208.70x = 161,580,525,266.90
  5. Step 5: Solve for x
    x = 161,580,525,266.90/411,208.70
  6. Step 6: Final answer
    x = 392,940.43

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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.