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Finding the Fourth Proportional to 419,707.32, 629,650.94 and 135,414.06

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Solution

The fourth proportional to 419,707.32, 629,650.94 and 135,414.06 is: 203,150.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,707.32 : 629,650.94 = 135,414.06 : x
  2. Step 2: Convert to fraction form
    419,707.32/629,650.94 = 135,414.06/x
  3. Step 3: Cross multiply
    419,707.32x = 629,650.94 × 135,414.06
  4. Step 4: Simplify right side
    419,707.32x = 85,263,590,168.22
  5. Step 5: Solve for x
    x = 85,263,590,168.22/419,707.32
  6. Step 6: Final answer
    x = 203,150.11

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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.