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Finding the Fourth Proportional to 312,983.94, 431,878.23 and 185,634.66

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Solution

The fourth proportional to 312,983.94, 431,878.23 and 185,634.66 is: 256,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,983.94 : 431,878.23 = 185,634.66 : x
  2. Step 2: Convert to fraction form
    312,983.94/431,878.23 = 185,634.66/x
  3. Step 3: Cross multiply
    312,983.94x = 431,878.23 × 185,634.66
  4. Step 4: Simplify right side
    312,983.94x = 80,171,568,387.45
  5. Step 5: Solve for x
    x = 80,171,568,387.45/312,983.94
  6. Step 6: Final answer
    x = 256,152.34

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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.