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Finding the Fourth Proportional to 395,180.64, 545,350.73 and 213,894.95

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Solution

The fourth proportional to 395,180.64, 545,350.73 and 213,894.95 is: 295,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,180.64 : 545,350.73 = 213,894.95 : x
  2. Step 2: Convert to fraction form
    395,180.64/545,350.73 = 213,894.95/x
  3. Step 3: Cross multiply
    395,180.64x = 545,350.73 × 213,894.95
  4. Step 4: Simplify right side
    395,180.64x = 116,647,763,329.59
  5. Step 5: Solve for x
    x = 116,647,763,329.59/395,180.64
  6. Step 6: Final answer
    x = 295,175.80

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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.