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Finding the Fourth Proportional to 312,441.72, 431,167.32 and 169,198.44

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Solution

The fourth proportional to 312,441.72, 431,167.32 and 169,198.44 is: 233,492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,441.72 : 431,167.32 = 169,198.44 : x
  2. Step 2: Convert to fraction form
    312,441.72/431,167.32 = 169,198.44/x
  3. Step 3: Cross multiply
    312,441.72x = 431,167.32 × 169,198.44
  4. Step 4: Simplify right side
    312,441.72x = 72,952,837,922.98
  5. Step 5: Solve for x
    x = 72,952,837,922.98/312,441.72
  6. Step 6: Final answer
    x = 233,492.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.