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Finding the Fourth Proportional to 398,379.39, 597,745.47 and 208,794.57

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Solution

The fourth proportional to 398,379.39, 597,745.47 and 208,794.57 is: 313,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,379.39 : 597,745.47 = 208,794.57 : x
  2. Step 2: Convert to fraction form
    398,379.39/597,745.47 = 208,794.57/x
  3. Step 3: Cross multiply
    398,379.39x = 597,745.47 × 208,794.57
  4. Step 4: Simplify right side
    398,379.39x = 124,806,008,378.10
  5. Step 5: Solve for x
    x = 124,806,008,378.10/398,379.39
  6. Step 6: Final answer
    x = 313,284.30

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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.