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Finding the Fourth Proportional to 378,838.49, 568,413.54 and 278,150.69

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Solution

The fourth proportional to 378,838.49, 568,413.54 and 278,150.69 is: 417,340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,838.49 : 568,413.54 = 278,150.69 : x
  2. Step 2: Convert to fraction form
    378,838.49/568,413.54 = 278,150.69/x
  3. Step 3: Cross multiply
    378,838.49x = 568,413.54 × 278,150.69
  4. Step 4: Simplify right side
    378,838.49x = 158,104,615,514.28
  5. Step 5: Solve for x
    x = 158,104,615,514.28/378,838.49
  6. Step 6: Final answer
    x = 417,340.43

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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.