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Finding the Fourth Proportional to 299,722.50, 449,573.40 and 75,084.90

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Solution

The fourth proportional to 299,722.50, 449,573.40 and 75,084.90 is: 112,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,722.50 : 449,573.40 = 75,084.90 : x
  2. Step 2: Convert to fraction form
    299,722.50/449,573.40 = 75,084.90/x
  3. Step 3: Cross multiply
    299,722.50x = 449,573.40 × 75,084.90
  4. Step 4: Simplify right side
    299,722.50x = 33,756,173,781.66
  5. Step 5: Solve for x
    x = 33,756,173,781.66/299,722.50
  6. Step 6: Final answer
    x = 112,624.76

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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.