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Finding the Fourth Proportional to 295,998.13, 408,469.12 and 161,859.25

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Solution

The fourth proportional to 295,998.13, 408,469.12 and 161,859.25 is: 223,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,998.13 : 408,469.12 = 161,859.25 : x
  2. Step 2: Convert to fraction form
    295,998.13/408,469.12 = 161,859.25/x
  3. Step 3: Cross multiply
    295,998.13x = 408,469.12 × 161,859.25
  4. Step 4: Simplify right side
    295,998.13x = 66,114,505,411.36
  5. Step 5: Solve for x
    x = 66,114,505,411.36/295,998.13
  6. Step 6: Final answer
    x = 223,361.23

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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.