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Finding the Fourth Proportional to 299,891.04, 449,689.68 and 100,142.88

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Solution

The fourth proportional to 299,891.04, 449,689.68 and 100,142.88 is: 150,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,891.04 : 449,689.68 = 100,142.88 : x
  2. Step 2: Convert to fraction form
    299,891.04/449,689.68 = 100,142.88/x
  3. Step 3: Cross multiply
    299,891.04x = 449,689.68 × 100,142.88
  4. Step 4: Simplify right side
    299,891.04x = 45,033,219,661.48
  5. Step 5: Solve for x
    x = 45,033,219,661.48/299,891.04
  6. Step 6: Final answer
    x = 150,165.27

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1.5x scale

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.