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Finding the Fourth Proportional to 305,921.75, 422,108.01 and 185,039.39

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Solution

The fourth proportional to 305,921.75, 422,108.01 and 185,039.39 is: 255,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,921.75 : 422,108.01 = 185,039.39 : x
  2. Step 2: Convert to fraction form
    305,921.75/422,108.01 = 185,039.39/x
  3. Step 3: Cross multiply
    305,921.75x = 422,108.01 × 185,039.39
  4. Step 4: Simplify right side
    305,921.75x = 78,106,608,684.51
  5. Step 5: Solve for x
    x = 78,106,608,684.51/305,921.75
  6. Step 6: Final answer
    x = 255,315.64

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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.