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Finding the Fourth Proportional to 395,622.26, 545,958.05 and 214,338.80

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Solution

The fourth proportional to 395,622.26, 545,958.05 and 214,338.80 is: 295,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,622.26 : 545,958.05 = 214,338.80 : x
  2. Step 2: Convert to fraction form
    395,622.26/545,958.05 = 214,338.80/x
  3. Step 3: Cross multiply
    395,622.26x = 545,958.05 × 214,338.80
  4. Step 4: Simplify right side
    395,622.26x = 117,019,989,485.86
  5. Step 5: Solve for x
    x = 117,019,989,485.86/395,622.26
  6. Step 6: Final answer
    x = 295,787.18

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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.