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Finding the Fourth Proportional to 221,280.80, 331,046.40 and 192,023.60

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Solution

The fourth proportional to 221,280.80, 331,046.40 and 192,023.60 is: 287,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,280.80 : 331,046.40 = 192,023.60 : x
  2. Step 2: Convert to fraction form
    221,280.80/331,046.40 = 192,023.60/x
  3. Step 3: Cross multiply
    221,280.80x = 331,046.40 × 192,023.60
  4. Step 4: Simplify right side
    221,280.80x = 63,568,721,495.04
  5. Step 5: Solve for x
    x = 63,568,721,495.04/221,280.80
  6. Step 6: Final answer
    x = 287,276.26

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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.