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Finding the Fourth Proportional to 431,482.07, 647,119.31 and 131,965.25

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Solution

The fourth proportional to 431,482.07, 647,119.31 and 131,965.25 is: 197,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,482.07 : 647,119.31 = 131,965.25 : x
  2. Step 2: Convert to fraction form
    431,482.07/647,119.31 = 131,965.25/x
  3. Step 3: Cross multiply
    431,482.07x = 647,119.31 × 131,965.25
  4. Step 4: Simplify right side
    431,482.07x = 85,397,257,628.55
  5. Step 5: Solve for x
    x = 85,397,257,628.55/431,482.07
  6. Step 6: Final answer
    x = 197,916.12

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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.