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Finding the Fourth Proportional to 315,469.44, 435,822.72 and 206,832

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Solution

The fourth proportional to 315,469.44, 435,822.72 and 206,832 is: 285,739.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,469.44 : 435,822.72 = 206,832 : x
  2. Step 2: Convert to fraction form
    315,469.44/435,822.72 = 206,832/x
  3. Step 3: Cross multiply
    315,469.44x = 435,822.72 × 206,832
  4. Step 4: Simplify right side
    315,469.44x = 90,142,084,823.04
  5. Step 5: Solve for x
    x = 90,142,084,823.04/315,469.44
  6. Step 6: Final answer
    x = 285,739.52

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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.