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Finding the Fourth Proportional to 361,165.74, 498,413.93 and 208,201.16

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Solution

The fourth proportional to 361,165.74, 498,413.93 and 208,201.16 is: 287,320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,165.74 : 498,413.93 = 208,201.16 : x
  2. Step 2: Convert to fraction form
    361,165.74/498,413.93 = 208,201.16/x
  3. Step 3: Cross multiply
    361,165.74x = 498,413.93 × 208,201.16
  4. Step 4: Simplify right side
    361,165.74x = 103,770,354,853.08
  5. Step 5: Solve for x
    x = 103,770,354,853.08/361,165.74
  6. Step 6: Final answer
    x = 287,320.59

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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.