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Finding the Fourth Proportional to 221,296.87, 331,384.76 and 137,221.25

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Solution

The fourth proportional to 221,296.87, 331,384.76 and 137,221.25 is: 205,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,296.87 : 331,384.76 = 137,221.25 : x
  2. Step 2: Convert to fraction form
    221,296.87/331,384.76 = 137,221.25/x
  3. Step 3: Cross multiply
    221,296.87x = 331,384.76 × 137,221.25
  4. Step 4: Simplify right side
    221,296.87x = 45,473,029,169.70
  5. Step 5: Solve for x
    x = 45,473,029,169.70/221,296.87
  6. Step 6: Final answer
    x = 205,484.28

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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.