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Finding the Fourth Proportional to 315,481.02, 435,413.82 and 200,639.94

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Solution

The fourth proportional to 315,481.02, 435,413.82 and 200,639.94 is: 276,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,481.02 : 435,413.82 = 200,639.94 : x
  2. Step 2: Convert to fraction form
    315,481.02/435,413.82 = 200,639.94/x
  3. Step 3: Cross multiply
    315,481.02x = 435,413.82 × 200,639.94
  4. Step 4: Simplify right side
    315,481.02x = 87,361,402,719.97
  5. Step 5: Solve for x
    x = 87,361,402,719.97/315,481.02
  6. Step 6: Final answer
    x = 276,914.92

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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.