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Finding the Fourth Proportional to 221,219.50, 331,830.54 and 55,007.50

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Solution

The fourth proportional to 221,219.50, 331,830.54 and 55,007.50 is: 82,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,219.50 : 331,830.54 = 55,007.50 : x
  2. Step 2: Convert to fraction form
    221,219.50/331,830.54 = 55,007.50/x
  3. Step 3: Cross multiply
    221,219.50x = 331,830.54 × 55,007.50
  4. Step 4: Simplify right side
    221,219.50x = 18,253,168,429.05
  5. Step 5: Solve for x
    x = 18,253,168,429.05/221,219.50
  6. Step 6: Final answer
    x = 82,511.57

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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.