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Finding the Fourth Proportional to 411,612.78, 617,530 and 211,824.30

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Solution

The fourth proportional to 411,612.78, 617,530 and 211,824.30 is: 317,793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,612.78 : 617,530 = 211,824.30 : x
  2. Step 2: Convert to fraction form
    411,612.78/617,530 = 211,824.30/x
  3. Step 3: Cross multiply
    411,612.78x = 617,530 × 211,824.30
  4. Step 4: Simplify right side
    411,612.78x = 130,807,859,979
  5. Step 5: Solve for x
    x = 130,807,859,979/411,612.78
  6. Step 6: Final answer
    x = 317,793.49

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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.