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Finding the Fourth Proportional to 312,906.96, 431,745.12 and 185,623.92

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Solution

The fourth proportional to 312,906.96, 431,745.12 and 185,623.92 is: 256,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,906.96 : 431,745.12 = 185,623.92 : x
  2. Step 2: Convert to fraction form
    312,906.96/431,745.12 = 185,623.92/x
  3. Step 3: Cross multiply
    312,906.96x = 431,745.12 × 185,623.92
  4. Step 4: Simplify right side
    312,906.96x = 80,142,221,615.27
  5. Step 5: Solve for x
    x = 80,142,221,615.27/312,906.96
  6. Step 6: Final answer
    x = 256,121.57

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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.