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Finding the Fourth Proportional to 411,891.20, 617,059.20 and 211,529.60

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Solution

The fourth proportional to 411,891.20, 617,059.20 and 211,529.60 is: 316,895.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,891.20 : 617,059.20 = 211,529.60 : x
  2. Step 2: Convert to fraction form
    411,891.20/617,059.20 = 211,529.60/x
  3. Step 3: Cross multiply
    411,891.20x = 617,059.20 × 211,529.60
  4. Step 4: Simplify right side
    411,891.20x = 130,526,285,752.32
  5. Step 5: Solve for x
    x = 130,526,285,752.32/411,891.20
  6. Step 6: Final answer
    x = 316,895.06

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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.