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Finding the Fourth Proportional to 299,484.20, 449,226.30 and 99,811.10

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Solution

The fourth proportional to 299,484.20, 449,226.30 and 99,811.10 is: 149,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,484.20 : 449,226.30 = 99,811.10 : x
  2. Step 2: Convert to fraction form
    299,484.20/449,226.30 = 99,811.10/x
  3. Step 3: Cross multiply
    299,484.20x = 449,226.30 × 99,811.10
  4. Step 4: Simplify right side
    299,484.20x = 44,837,771,151.93
  5. Step 5: Solve for x
    x = 44,837,771,151.93/299,484.20
  6. Step 6: Final answer
    x = 149,716.65

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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.