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Finding the Fourth Proportional to 312,591.08, 431,375.10 and 169,355

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Solution

The fourth proportional to 312,591.08, 431,375.10 and 169,355 is: 233,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,591.08 : 431,375.10 = 169,355 : x
  2. Step 2: Convert to fraction form
    312,591.08/431,375.10 = 169,355/x
  3. Step 3: Cross multiply
    312,591.08x = 431,375.10 × 169,355
  4. Step 4: Simplify right side
    312,591.08x = 73,055,530,060.50
  5. Step 5: Solve for x
    x = 73,055,530,060.50/312,591.08
  6. Step 6: Final answer
    x = 233,709.58

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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.