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Finding the Fourth Proportional to 511,367.28, 767,161.60 and 195,824.20

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Solution

The fourth proportional to 511,367.28, 767,161.60 and 195,824.20 is: 293,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,367.28 : 767,161.60 = 195,824.20 : x
  2. Step 2: Convert to fraction form
    511,367.28/767,161.60 = 195,824.20/x
  3. Step 3: Cross multiply
    511,367.28x = 767,161.60 × 195,824.20
  4. Step 4: Simplify right side
    511,367.28x = 150,228,806,590.72
  5. Step 5: Solve for x
    x = 150,228,806,590.72/511,367.28
  6. Step 6: Final answer
    x = 293,778.68

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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.