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Finding the Fourth Proportional to 408,739.84, 613,135.68 and 128,268.16

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Solution

The fourth proportional to 408,739.84, 613,135.68 and 128,268.16 is: 192,410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,739.84 : 613,135.68 = 128,268.16 : x
  2. Step 2: Convert to fraction form
    408,739.84/613,135.68 = 128,268.16/x
  3. Step 3: Cross multiply
    408,739.84x = 613,135.68 × 128,268.16
  4. Step 4: Simplify right side
    408,739.84x = 78,645,785,503.95
  5. Step 5: Solve for x
    x = 78,645,785,503.95/408,739.84
  6. Step 6: Final answer
    x = 192,410.37

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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.