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Finding the Fourth Proportional to 490,906.44, 677,288.16 and 400,106.52

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Solution

The fourth proportional to 490,906.44, 677,288.16 and 400,106.52 is: 552,014.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,906.44 : 677,288.16 = 400,106.52 : x
  2. Step 2: Convert to fraction form
    490,906.44/677,288.16 = 400,106.52/x
  3. Step 3: Cross multiply
    490,906.44x = 677,288.16 × 400,106.52
  4. Step 4: Simplify right side
    490,906.44x = 270,987,408,734.80
  5. Step 5: Solve for x
    x = 270,987,408,734.80/490,906.44
  6. Step 6: Final answer
    x = 552,014.37

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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.