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Finding the Fourth Proportional to 383,997.60, 575,996.40 and 134,704.80

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Solution

The fourth proportional to 383,997.60, 575,996.40 and 134,704.80 is: 202,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,997.60 : 575,996.40 = 134,704.80 : x
  2. Step 2: Convert to fraction form
    383,997.60/575,996.40 = 134,704.80/x
  3. Step 3: Cross multiply
    383,997.60x = 575,996.40 × 134,704.80
  4. Step 4: Simplify right side
    383,997.60x = 77,589,479,862.72
  5. Step 5: Solve for x
    x = 77,589,479,862.72/383,997.60
  6. Step 6: Final answer
    x = 202,057.20

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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.