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Finding the Fourth Proportional to 449,715, 674,611.38 and 117,291

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Solution

The fourth proportional to 449,715, 674,611.38 and 117,291 is: 175,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,715 : 674,611.38 = 117,291 : x
  2. Step 2: Convert to fraction form
    449,715/674,611.38 = 117,291/x
  3. Step 3: Cross multiply
    449,715x = 674,611.38 × 117,291
  4. Step 4: Simplify right side
    449,715x = 79,125,843,371.58
  5. Step 5: Solve for x
    x = 79,125,843,371.58/449,715
  6. Step 6: Final answer
    x = 175,946.64

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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.