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Finding the Fourth Proportional to 508,198.43, 701,314.78 and 278,757.58

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Solution

The fourth proportional to 508,198.43, 701,314.78 and 278,757.58 is: 384,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,198.43 : 701,314.78 = 278,757.58 : x
  2. Step 2: Convert to fraction form
    508,198.43/701,314.78 = 278,757.58/x
  3. Step 3: Cross multiply
    508,198.43x = 701,314.78 × 278,757.58
  4. Step 4: Simplify right side
    508,198.43x = 195,496,809,090.05
  5. Step 5: Solve for x
    x = 195,496,809,090.05/508,198.43
  6. Step 6: Final answer
    x = 384,685.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.