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Finding the Fourth Proportional to 395,613.13, 545,945.43 and 214,329.64

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Solution

The fourth proportional to 395,613.13, 545,945.43 and 214,329.64 is: 295,774.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,613.13 : 545,945.43 = 214,329.64 : x
  2. Step 2: Convert to fraction form
    395,613.13/545,945.43 = 214,329.64/x
  3. Step 3: Cross multiply
    395,613.13x = 545,945.43 × 214,329.64
  4. Step 4: Simplify right side
    395,613.13x = 117,012,287,471.55
  5. Step 5: Solve for x
    x = 117,012,287,471.55/395,613.13
  6. Step 6: Final answer
    x = 295,774.53

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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.