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Finding the Fourth Proportional to 312,983.56, 431,877.70 and 185,634.28

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Solution

The fourth proportional to 312,983.56, 431,877.70 and 185,634.28 is: 256,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,983.56 : 431,877.70 = 185,634.28 : x
  2. Step 2: Convert to fraction form
    312,983.56/431,877.70 = 185,634.28/x
  3. Step 3: Cross multiply
    312,983.56x = 431,877.70 × 185,634.28
  4. Step 4: Simplify right side
    312,983.56x = 80,171,305,887.56
  5. Step 5: Solve for x
    x = 80,171,305,887.56/312,983.56
  6. Step 6: Final answer
    x = 256,151.81

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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.