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Finding the Fourth Proportional to 221,209.50, 331,815.51 and 54,997.50

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Solution

The fourth proportional to 221,209.50, 331,815.51 and 54,997.50 is: 82,496.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,209.50 : 331,815.51 = 54,997.50 : x
  2. Step 2: Convert to fraction form
    221,209.50/331,815.51 = 54,997.50/x
  3. Step 3: Cross multiply
    221,209.50x = 331,815.51 × 54,997.50
  4. Step 4: Simplify right side
    221,209.50x = 18,249,023,511.23
  5. Step 5: Solve for x
    x = 18,249,023,511.23/221,209.50
  6. Step 6: Final answer
    x = 82,496.56

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1.5x scale

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.