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Finding the Fourth Proportional to 253,850.58, 380,786.39 and 209,394.54

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Solution

The fourth proportional to 253,850.58, 380,786.39 and 209,394.54 is: 314,100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,850.58 : 380,786.39 = 209,394.54 : x
  2. Step 2: Convert to fraction form
    253,850.58/380,786.39 = 209,394.54/x
  3. Step 3: Cross multiply
    253,850.58x = 380,786.39 × 209,394.54
  4. Step 4: Simplify right side
    253,850.58x = 79,734,589,925.34
  5. Step 5: Solve for x
    x = 79,734,589,925.34/253,850.58
  6. Step 6: Final answer
    x = 314,100.48

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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.