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Finding the Fourth Proportional to 378,745.58, 522,679.75 and 208,990.64

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Solution

The fourth proportional to 378,745.58, 522,679.75 and 208,990.64 is: 288,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,745.58 : 522,679.75 = 208,990.64 : x
  2. Step 2: Convert to fraction form
    378,745.58/522,679.75 = 208,990.64/x
  3. Step 3: Cross multiply
    378,745.58x = 522,679.75 × 208,990.64
  4. Step 4: Simplify right side
    378,745.58x = 109,235,172,331.67
  5. Step 5: Solve for x
    x = 109,235,172,331.67/378,745.58
  6. Step 6: Final answer
    x = 288,413.07

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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.