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Finding the Fourth Proportional to 299,418.10, 449,127.15 and 193,129.90

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Solution

The fourth proportional to 299,418.10, 449,127.15 and 193,129.90 is: 289,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,418.10 : 449,127.15 = 193,129.90 : x
  2. Step 2: Convert to fraction form
    299,418.10/449,127.15 = 193,129.90/x
  3. Step 3: Cross multiply
    299,418.10x = 449,127.15 × 193,129.90
  4. Step 4: Simplify right side
    299,418.10x = 86,739,881,566.79
  5. Step 5: Solve for x
    x = 86,739,881,566.79/299,418.10
  6. Step 6: Final answer
    x = 289,694.85

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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.