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Finding the Fourth Proportional to 490,758.80, 677,243.07 and 275,899.82

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Solution

The fourth proportional to 490,758.80, 677,243.07 and 275,899.82 is: 380,739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,758.80 : 677,243.07 = 275,899.82 : x
  2. Step 2: Convert to fraction form
    490,758.80/677,243.07 = 275,899.82/x
  3. Step 3: Cross multiply
    490,758.80x = 677,243.07 × 275,899.82
  4. Step 4: Simplify right side
    490,758.80x = 186,851,241,109.25
  5. Step 5: Solve for x
    x = 186,851,241,109.25/490,758.80
  6. Step 6: Final answer
    x = 380,739.46

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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.