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Finding the Fourth Proportional to 510,469.85, 765,704.78 and 136,483.13

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Solution

The fourth proportional to 510,469.85, 765,704.78 and 136,483.13 is: 204,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,469.85 : 765,704.78 = 136,483.13 : x
  2. Step 2: Convert to fraction form
    510,469.85/765,704.78 = 136,483.13/x
  3. Step 3: Cross multiply
    510,469.85x = 765,704.78 × 136,483.13
  4. Step 4: Simplify right side
    510,469.85x = 104,505,780,519.42
  5. Step 5: Solve for x
    x = 104,505,780,519.42/510,469.85
  6. Step 6: Final answer
    x = 204,724.69

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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.