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Finding the Fourth Proportional to 305,072.75, 420,858.01 and 191,957.87

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Solution

The fourth proportional to 305,072.75, 420,858.01 and 191,957.87 is: 264,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,072.75 : 420,858.01 = 191,957.87 : x
  2. Step 2: Convert to fraction form
    305,072.75/420,858.01 = 191,957.87/x
  3. Step 3: Cross multiply
    305,072.75x = 420,858.01 × 191,957.87
  4. Step 4: Simplify right side
    305,072.75x = 80,787,008,464.13
  5. Step 5: Solve for x
    x = 80,787,008,464.13/305,072.75
  6. Step 6: Final answer
    x = 264,812.27

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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.