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Finding the Fourth Proportional to 521,514.86, 780,849.52 and 394,771.73

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Solution

The fourth proportional to 521,514.86, 780,849.52 and 394,771.73 is: 591,080.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,514.86 : 780,849.52 = 394,771.73 : x
  2. Step 2: Convert to fraction form
    521,514.86/780,849.52 = 394,771.73/x
  3. Step 3: Cross multiply
    521,514.86x = 780,849.52 × 394,771.73
  4. Step 4: Simplify right side
    521,514.86x = 308,257,310,988.89
  5. Step 5: Solve for x
    x = 308,257,310,988.89/521,514.86
  6. Step 6: Final answer
    x = 591,080.60

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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.