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Finding the Fourth Proportional to 431,464.80, 647,043.60 and 194,920.80

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Solution

The fourth proportional to 431,464.80, 647,043.60 and 194,920.80 is: 292,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,464.80 : 647,043.60 = 194,920.80 : x
  2. Step 2: Convert to fraction form
    431,464.80/647,043.60 = 194,920.80/x
  3. Step 3: Cross multiply
    431,464.80x = 647,043.60 × 194,920.80
  4. Step 4: Simplify right side
    431,464.80x = 126,122,256,146.88
  5. Step 5: Solve for x
    x = 126,122,256,146.88/431,464.80
  6. Step 6: Final answer
    x = 292,311.81

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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.