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Finding the Fourth Proportional to 721,224, 1,081,836 and 195,912

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Solution

The fourth proportional to 721,224, 1,081,836 and 195,912 is: 293,868

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,224 : 1,081,836 = 195,912 : x
  2. Step 2: Convert to fraction form
    721,224/1,081,836 = 195,912/x
  3. Step 3: Cross multiply
    721,224x = 1,081,836 × 195,912
  4. Step 4: Simplify right side
    721,224x = 211,944,654,432
  5. Step 5: Solve for x
    x = 211,944,654,432/721,224
  6. Step 6: Final answer
    x = 293,868

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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.