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Finding the Fourth Proportional to 431,486.87, 647,126.49 and 131,970.04

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Solution

The fourth proportional to 431,486.87, 647,126.49 and 131,970.04 is: 197,923.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,486.87 : 647,126.49 = 131,970.04 : x
  2. Step 2: Convert to fraction form
    431,486.87/647,126.49 = 131,970.04/x
  3. Step 3: Cross multiply
    431,486.87x = 647,126.49 × 131,970.04
  4. Step 4: Simplify right side
    431,486.87x = 85,401,307,647.43
  5. Step 5: Solve for x
    x = 85,401,307,647.43/431,486.87
  6. Step 6: Final answer
    x = 197,923.31

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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.