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Finding the Fourth Proportional to 299,991.40, 449,468.70 and 194,756.20

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Solution

The fourth proportional to 299,991.40, 449,468.70 and 194,756.20 is: 291,797.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,991.40 : 449,468.70 = 194,756.20 : x
  2. Step 2: Convert to fraction form
    299,991.40/449,468.70 = 194,756.20/x
  3. Step 3: Cross multiply
    299,991.40x = 449,468.70 × 194,756.20
  4. Step 4: Simplify right side
    299,991.40x = 87,536,816,030.94
  5. Step 5: Solve for x
    x = 87,536,816,030.94/299,991.40
  6. Step 6: Final answer
    x = 291,797.75

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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.