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Finding the Fourth Proportional to 378,413.04, 522,183.30 and 208,643.52

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Solution

The fourth proportional to 378,413.04, 522,183.30 and 208,643.52 is: 287,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,413.04 : 522,183.30 = 208,643.52 : x
  2. Step 2: Convert to fraction form
    378,413.04/522,183.30 = 208,643.52/x
  3. Step 3: Cross multiply
    378,413.04x = 522,183.30 × 208,643.52
  4. Step 4: Simplify right side
    378,413.04x = 108,950,161,797.22
  5. Step 5: Solve for x
    x = 108,950,161,797.22/378,413.04
  6. Step 6: Final answer
    x = 287,913.34

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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.