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Finding the Fourth Proportional to 312,999.96, 431,873.46 and 185,716.92

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Solution

The fourth proportional to 312,999.96, 431,873.46 and 185,716.92 is: 256,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,999.96 : 431,873.46 = 185,716.92 : x
  2. Step 2: Convert to fraction form
    312,999.96/431,873.46 = 185,716.92/x
  3. Step 3: Cross multiply
    312,999.96x = 431,873.46 × 185,716.92
  4. Step 4: Simplify right side
    312,999.96x = 80,206,208,820.94
  5. Step 5: Solve for x
    x = 80,206,208,820.94/312,999.96
  6. Step 6: Final answer
    x = 256,249.90

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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.