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Finding the Fourth Proportional to 490,735.26, 677,225.34 and 299,853.90

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Solution

The fourth proportional to 490,735.26, 677,225.34 and 299,853.90 is: 413,804.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,735.26 : 677,225.34 = 299,853.90 : x
  2. Step 2: Convert to fraction form
    490,735.26/677,225.34 = 299,853.90/x
  3. Step 3: Cross multiply
    490,735.26x = 677,225.34 × 299,853.90
  4. Step 4: Simplify right side
    490,735.26x = 203,068,659,377.83
  5. Step 5: Solve for x
    x = 203,068,659,377.83/490,735.26
  6. Step 6: Final answer
    x = 413,804.91

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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.