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Finding the Fourth Proportional to 315,480.73, 435,413.40 and 200,639.64

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Solution

The fourth proportional to 315,480.73, 435,413.40 and 200,639.64 is: 276,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,480.73 : 435,413.40 = 200,639.64 : x
  2. Step 2: Convert to fraction form
    315,480.73/435,413.40 = 200,639.64/x
  3. Step 3: Cross multiply
    315,480.73x = 435,413.40 × 200,639.64
  4. Step 4: Simplify right side
    315,480.73x = 87,361,187,827.18
  5. Step 5: Solve for x
    x = 87,361,187,827.18/315,480.73
  6. Step 6: Final answer
    x = 276,914.50

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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.