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Finding the Fourth Proportional to 512,517.64, 707,208.42 and 286,172.68

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Solution

The fourth proportional to 512,517.64, 707,208.42 and 286,172.68 is: 394,881.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,517.64 : 707,208.42 = 286,172.68 : x
  2. Step 2: Convert to fraction form
    512,517.64/707,208.42 = 286,172.68/x
  3. Step 3: Cross multiply
    512,517.64x = 707,208.42 × 286,172.68
  4. Step 4: Simplify right side
    512,517.64x = 202,383,728,869.97
  5. Step 5: Solve for x
    x = 202,383,728,869.97/512,517.64
  6. Step 6: Final answer
    x = 394,881.49

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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.