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Finding the Fourth Proportional to 299,348.10, 449,022.15 and 214,929.90

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Solution

The fourth proportional to 299,348.10, 449,022.15 and 214,929.90 is: 322,394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,348.10 : 449,022.15 = 214,929.90 : x
  2. Step 2: Convert to fraction form
    299,348.10/449,022.15 = 214,929.90/x
  3. Step 3: Cross multiply
    299,348.10x = 449,022.15 × 214,929.90
  4. Step 4: Simplify right side
    299,348.10x = 96,508,285,797.29
  5. Step 5: Solve for x
    x = 96,508,285,797.29/299,348.10
  6. Step 6: Final answer
    x = 322,394.85

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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.