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Finding the Fourth Proportional to 378,413.70, 566,978.22 and 228,338.64

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Solution

The fourth proportional to 378,413.70, 566,978.22 and 228,338.64 is: 342,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,413.70 : 566,978.22 = 228,338.64 : x
  2. Step 2: Convert to fraction form
    378,413.70/566,978.22 = 228,338.64/x
  3. Step 3: Cross multiply
    378,413.70x = 566,978.22 × 228,338.64
  4. Step 4: Simplify right side
    378,413.70x = 129,463,035,664.42
  5. Step 5: Solve for x
    x = 129,463,035,664.42/378,413.70
  6. Step 6: Final answer
    x = 342,120.37

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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.