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Finding the Fourth Proportional to 431,418.98, 647,130.18 and 131,898.26

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Solution

The fourth proportional to 431,418.98, 647,130.18 and 131,898.26 is: 197,847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,418.98 : 647,130.18 = 131,898.26 : x
  2. Step 2: Convert to fraction form
    431,418.98/647,130.18 = 131,898.26/x
  3. Step 3: Cross multiply
    431,418.98x = 647,130.18 × 131,898.26
  4. Step 4: Simplify right side
    431,418.98x = 85,355,344,735.49
  5. Step 5: Solve for x
    x = 85,355,344,735.49/431,418.98
  6. Step 6: Final answer
    x = 197,847.91

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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.