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Finding the Fourth Proportional to 411,892.20, 617,060.70 and 211,530.60

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Solution

The fourth proportional to 411,892.20, 617,060.70 and 211,530.60 is: 316,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,892.20 : 617,060.70 = 211,530.60 : x
  2. Step 2: Convert to fraction form
    411,892.20/617,060.70 = 211,530.60/x
  3. Step 3: Cross multiply
    411,892.20x = 617,060.70 × 211,530.60
  4. Step 4: Simplify right side
    411,892.20x = 130,527,220,107.42
  5. Step 5: Solve for x
    x = 130,527,220,107.42/411,892.20
  6. Step 6: Final answer
    x = 316,896.56

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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.