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Finding the Fourth Proportional to 395,622.27, 545,958.03 and 214,338.78

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Solution

The fourth proportional to 395,622.27, 545,958.03 and 214,338.78 is: 295,787.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,622.27 : 545,958.03 = 214,338.78 : x
  2. Step 2: Convert to fraction form
    395,622.27/545,958.03 = 214,338.78/x
  3. Step 3: Cross multiply
    395,622.27x = 545,958.03 × 214,338.78
  4. Step 4: Simplify right side
    395,622.27x = 117,019,978,081.40
  5. Step 5: Solve for x
    x = 117,019,978,081.40/395,622.27
  6. Step 6: Final answer
    x = 295,787.14

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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.