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Finding the Fourth Proportional to 299,429.10, 449,143.65 and 187,819.20

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Solution

The fourth proportional to 299,429.10, 449,143.65 and 187,819.20 is: 281,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,429.10 : 449,143.65 = 187,819.20 : x
  2. Step 2: Convert to fraction form
    299,429.10/449,143.65 = 187,819.20/x
  3. Step 3: Cross multiply
    299,429.10x = 449,143.65 × 187,819.20
  4. Step 4: Simplify right side
    299,429.10x = 84,357,801,028.08
  5. Step 5: Solve for x
    x = 84,357,801,028.08/299,429.10
  6. Step 6: Final answer
    x = 281,728.80

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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.