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Finding the Fourth Proportional to 511,134.76, 765,719.49 and 285,811.79

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Solution

The fourth proportional to 511,134.76, 765,719.49 and 285,811.79 is: 428,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,134.76 : 765,719.49 = 285,811.79 : x
  2. Step 2: Convert to fraction form
    511,134.76/765,719.49 = 285,811.79/x
  3. Step 3: Cross multiply
    511,134.76x = 765,719.49 × 285,811.79
  4. Step 4: Simplify right side
    511,134.76x = 218,851,658,074.79
  5. Step 5: Solve for x
    x = 218,851,658,074.79/511,134.76
  6. Step 6: Final answer
    x = 428,168.22

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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.