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Finding the Fourth Proportional to 431,473.26, 647,239.86 and 131,930.80

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Solution

The fourth proportional to 431,473.26, 647,239.86 and 131,930.80 is: 197,905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,473.26 : 647,239.86 = 131,930.80 : x
  2. Step 2: Convert to fraction form
    431,473.26/647,239.86 = 131,930.80/x
  3. Step 3: Cross multiply
    431,473.26x = 647,239.86 × 131,930.80
  4. Step 4: Simplify right side
    431,473.26x = 85,390,872,521.69
  5. Step 5: Solve for x
    x = 85,390,872,521.69/431,473.26
  6. Step 6: Final answer
    x = 197,905.36

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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.