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Finding the Fourth Proportional to 496,605.68, 685,268.42 and 278,764.48

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Solution

The fourth proportional to 496,605.68, 685,268.42 and 278,764.48 is: 384,668.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,605.68 : 685,268.42 = 278,764.48 : x
  2. Step 2: Convert to fraction form
    496,605.68/685,268.42 = 278,764.48/x
  3. Step 3: Cross multiply
    496,605.68x = 685,268.42 × 278,764.48
  4. Step 4: Simplify right side
    496,605.68x = 191,028,494,761.72
  5. Step 5: Solve for x
    x = 191,028,494,761.72/496,605.68
  6. Step 6: Final answer
    x = 384,668.36

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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.