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Finding the Fourth Proportional to 378,168.38, 521,883.30 and 208,413.44

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Solution

The fourth proportional to 378,168.38, 521,883.30 and 208,413.44 is: 287,616.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,168.38 : 521,883.30 = 208,413.44 : x
  2. Step 2: Convert to fraction form
    378,168.38/521,883.30 = 208,413.44/x
  3. Step 3: Cross multiply
    378,168.38x = 521,883.30 × 208,413.44
  4. Step 4: Simplify right side
    378,168.38x = 108,767,491,222.14
  5. Step 5: Solve for x
    x = 108,767,491,222.14/378,168.38
  6. Step 6: Final answer
    x = 287,616.57

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1.5x scale

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.