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Finding the Fourth Proportional to 490,797.09, 736,589.34 and 254,207.43

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Solution

The fourth proportional to 490,797.09, 736,589.34 and 254,207.43 is: 381,515.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,797.09 : 736,589.34 = 254,207.43 : x
  2. Step 2: Convert to fraction form
    490,797.09/736,589.34 = 254,207.43/x
  3. Step 3: Cross multiply
    490,797.09x = 736,589.34 × 254,207.43
  4. Step 4: Simplify right side
    490,797.09x = 187,246,478,132.81
  5. Step 5: Solve for x
    x = 187,246,478,132.81/490,797.09
  6. Step 6: Final answer
    x = 381,515.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.