Home / 741,969-1,023,917.31-419,672.16

Finding the Fourth Proportional to 741,969, 1,023,917.31 and 419,672.16

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Solution

The fourth proportional to 741,969, 1,023,917.31 and 419,672.16 is: 579,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,969 : 1,023,917.31 = 419,672.16 : x
  2. Step 2: Convert to fraction form
    741,969/1,023,917.31 = 419,672.16/x
  3. Step 3: Cross multiply
    741,969x = 1,023,917.31 × 419,672.16
  4. Step 4: Simplify right side
    741,969x = 429,709,589,149.09
  5. Step 5: Solve for x
    x = 429,709,589,149.09/741,969
  6. Step 6: Final answer
    x = 579,147.63

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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.