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Finding the Fourth Proportional to 513,150.40, 768,559.20 and 263,540.80

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Solution

The fourth proportional to 513,150.40, 768,559.20 and 263,540.80 is: 394,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,150.40 : 768,559.20 = 263,540.80 : x
  2. Step 2: Convert to fraction form
    513,150.40/768,559.20 = 263,540.80/x
  3. Step 3: Cross multiply
    513,150.40x = 768,559.20 × 263,540.80
  4. Step 4: Simplify right side
    513,150.40x = 202,546,706,415.36
  5. Step 5: Solve for x
    x = 202,546,706,415.36/513,150.40
  6. Step 6: Final answer
    x = 394,712.17

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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.