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Finding the Fourth Proportional to 398,338.26, 597,684 and 208,753.56

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Solution

The fourth proportional to 398,338.26, 597,684 and 208,753.56 is: 313,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,338.26 : 597,684 = 208,753.56 : x
  2. Step 2: Convert to fraction form
    398,338.26/597,684 = 208,753.56/x
  3. Step 3: Cross multiply
    398,338.26x = 597,684 × 208,753.56
  4. Step 4: Simplify right side
    398,338.26x = 124,768,662,755.04
  5. Step 5: Solve for x
    x = 124,768,662,755.04/398,338.26
  6. Step 6: Final answer
    x = 313,222.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.