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Finding the Fourth Proportional to 510,351.75, 765,529.64 and 206,751.66

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Solution

The fourth proportional to 510,351.75, 765,529.64 and 206,751.66 is: 310,128.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,351.75 : 765,529.64 = 206,751.66 : x
  2. Step 2: Convert to fraction form
    510,351.75/765,529.64 = 206,751.66/x
  3. Step 3: Cross multiply
    510,351.75x = 765,529.64 × 206,751.66
  4. Step 4: Simplify right side
    510,351.75x = 158,274,522,815.44
  5. Step 5: Solve for x
    x = 158,274,522,815.44/510,351.75
  6. Step 6: Final answer
    x = 310,128.30

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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.