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Finding the Fourth Proportional to 422,485.30, 633,728.41 and 106,942.21

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Solution

The fourth proportional to 422,485.30, 633,728.41 and 106,942.21 is: 160,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,485.30 : 633,728.41 = 106,942.21 : x
  2. Step 2: Convert to fraction form
    422,485.30/633,728.41 = 106,942.21/x
  3. Step 3: Cross multiply
    422,485.30x = 633,728.41 × 106,942.21
  4. Step 4: Simplify right side
    422,485.30x = 67,772,314,853.51
  5. Step 5: Solve for x
    x = 67,772,314,853.51/422,485.30
  6. Step 6: Final answer
    x = 160,413.43

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1.5x scale

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.