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Finding the Fourth Proportional to 511,976.80, 768,402.60 and 228,104.20

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Solution

The fourth proportional to 511,976.80, 768,402.60 and 228,104.20 is: 342,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,976.80 : 768,402.60 = 228,104.20 : x
  2. Step 2: Convert to fraction form
    511,976.80/768,402.60 = 228,104.20/x
  3. Step 3: Cross multiply
    511,976.80x = 768,402.60 × 228,104.20
  4. Step 4: Simplify right side
    511,976.80x = 175,275,860,350.92
  5. Step 5: Solve for x
    x = 175,275,860,350.92/511,976.80
  6. Step 6: Final answer
    x = 342,351.18

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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.