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Finding the Fourth Proportional to 411,896.20, 617,066.70 and 211,534.60

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Solution

The fourth proportional to 411,896.20, 617,066.70 and 211,534.60 is: 316,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,896.20 : 617,066.70 = 211,534.60 : x
  2. Step 2: Convert to fraction form
    411,896.20/617,066.70 = 211,534.60/x
  3. Step 3: Cross multiply
    411,896.20x = 617,066.70 × 211,534.60
  4. Step 4: Simplify right side
    411,896.20x = 130,530,957,557.82
  5. Step 5: Solve for x
    x = 130,530,957,557.82/411,896.20
  6. Step 6: Final answer
    x = 316,902.55

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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.