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Finding the Fourth Proportional to 408,844.35, 613,271.94 and 128,361.60

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Solution

The fourth proportional to 408,844.35, 613,271.94 and 128,361.60 is: 192,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,844.35 : 613,271.94 = 128,361.60 : x
  2. Step 2: Convert to fraction form
    408,844.35/613,271.94 = 128,361.60/x
  3. Step 3: Cross multiply
    408,844.35x = 613,271.94 × 128,361.60
  4. Step 4: Simplify right side
    408,844.35x = 78,720,567,453.50
  5. Step 5: Solve for x
    x = 78,720,567,453.50/408,844.35
  6. Step 6: Final answer
    x = 192,544.10

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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.