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Finding the Fourth Proportional to 354,122.12, 485,939.29 and 322,046.12

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Solution

The fourth proportional to 354,122.12, 485,939.29 and 322,046.12 is: 441,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,122.12 : 485,939.29 = 322,046.12 : x
  2. Step 2: Convert to fraction form
    354,122.12/485,939.29 = 322,046.12/x
  3. Step 3: Cross multiply
    354,122.12x = 485,939.29 × 322,046.12
  4. Step 4: Simplify right side
    354,122.12x = 156,494,862,900.06
  5. Step 5: Solve for x
    x = 156,494,862,900.06/354,122.12
  6. Step 6: Final answer
    x = 441,923.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.