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Finding the Fourth Proportional to 512,687.11, 707,568.32 and 308,840.94

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Solution

The fourth proportional to 512,687.11, 707,568.32 and 308,840.94 is: 426,236.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,687.11 : 707,568.32 = 308,840.94 : x
  2. Step 2: Convert to fraction form
    512,687.11/707,568.32 = 308,840.94/x
  3. Step 3: Cross multiply
    512,687.11x = 707,568.32 × 308,840.94
  4. Step 4: Simplify right side
    512,687.11x = 218,526,065,063.02
  5. Step 5: Solve for x
    x = 218,526,065,063.02/512,687.11
  6. Step 6: Final answer
    x = 426,236.71

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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.