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Finding the Fourth Proportional to 395,391.75, 545,643.21 and 214,103.69

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Solution

The fourth proportional to 395,391.75, 545,643.21 and 214,103.69 is: 295,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,391.75 : 545,643.21 = 214,103.69 : x
  2. Step 2: Convert to fraction form
    395,391.75/545,643.21 = 214,103.69/x
  3. Step 3: Cross multiply
    395,391.75x = 545,643.21 × 214,103.69
  4. Step 4: Simplify right side
    395,391.75x = 116,824,224,684.45
  5. Step 5: Solve for x
    x = 116,824,224,684.45/395,391.75
  6. Step 6: Final answer
    x = 295,464.50

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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.