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Finding the Fourth Proportional to 393,783.22, 590,820.12 and 318,578.78

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Solution

The fourth proportional to 393,783.22, 590,820.12 and 318,578.78 is: 477,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,783.22 : 590,820.12 = 318,578.78 : x
  2. Step 2: Convert to fraction form
    393,783.22/590,820.12 = 318,578.78/x
  3. Step 3: Cross multiply
    393,783.22x = 590,820.12 × 318,578.78
  4. Step 4: Simplify right side
    393,783.22x = 188,222,753,029.05
  5. Step 5: Solve for x
    x = 188,222,753,029.05/393,783.22
  6. Step 6: Final answer
    x = 477,985.71

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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.