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Finding the Fourth Proportional to 395,501.94, 545,791.37 and 214,213.41

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Solution

The fourth proportional to 395,501.94, 545,791.37 and 214,213.41 is: 295,613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,501.94 : 545,791.37 = 214,213.41 : x
  2. Step 2: Convert to fraction form
    395,501.94/545,791.37 = 214,213.41/x
  3. Step 3: Cross multiply
    395,501.94x = 545,791.37 × 214,213.41
  4. Step 4: Simplify right side
    395,501.94x = 116,915,829,445.21
  5. Step 5: Solve for x
    x = 116,915,829,445.21/395,501.94
  6. Step 6: Final answer
    x = 295,613.80

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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.