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Finding the Fourth Proportional to 305,067.36, 421,020.72 and 184,268.64

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Solution

The fourth proportional to 305,067.36, 421,020.72 and 184,268.64 is: 254,307.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,067.36 : 421,020.72 = 184,268.64 : x
  2. Step 2: Convert to fraction form
    305,067.36/421,020.72 = 184,268.64/x
  3. Step 3: Cross multiply
    305,067.36x = 421,020.72 × 184,268.64
  4. Step 4: Simplify right side
    305,067.36x = 77,580,915,486.22
  5. Step 5: Solve for x
    x = 77,580,915,486.22/305,067.36
  6. Step 6: Final answer
    x = 254,307.49

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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.