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Finding the Fourth Proportional to 411,613.85, 617,604.08 and 261,815.29

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Solution

The fourth proportional to 411,613.85, 617,604.08 and 261,815.29 is: 392,839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,613.85 : 617,604.08 = 261,815.29 : x
  2. Step 2: Convert to fraction form
    411,613.85/617,604.08 = 261,815.29/x
  3. Step 3: Cross multiply
    411,613.85x = 617,604.08 × 261,815.29
  4. Step 4: Simplify right side
    411,613.85x = 161,698,188,457.30
  5. Step 5: Solve for x
    x = 161,698,188,457.30/411,613.85
  6. Step 6: Final answer
    x = 392,839.52

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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.