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Finding the Fourth Proportional to 513,166.40, 768,583.20 and 263,556.80

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Solution

The fourth proportional to 513,166.40, 768,583.20 and 263,556.80 is: 394,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,166.40 : 768,583.20 = 263,556.80 : x
  2. Step 2: Convert to fraction form
    513,166.40/768,583.20 = 263,556.80/x
  3. Step 3: Cross multiply
    513,166.40x = 768,583.20 × 263,556.80
  4. Step 4: Simplify right side
    513,166.40x = 202,565,328,725.76
  5. Step 5: Solve for x
    x = 202,565,328,725.76/513,166.40
  6. Step 6: Final answer
    x = 394,736.15

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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.