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Finding the Fourth Proportional to 431,378.89, 647,070 and 131,858.31

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Solution

The fourth proportional to 431,378.89, 647,070 and 131,858.31 is: 197,787.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,378.89 : 647,070 = 131,858.31 : x
  2. Step 2: Convert to fraction form
    431,378.89/647,070 = 131,858.31/x
  3. Step 3: Cross multiply
    431,378.89x = 647,070 × 131,858.31
  4. Step 4: Simplify right side
    431,378.89x = 85,321,556,651.70
  5. Step 5: Solve for x
    x = 85,321,556,651.70/431,378.89
  6. Step 6: Final answer
    x = 197,787.97

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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.