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Finding the Fourth Proportional to 395,035.16, 545,144.63 and 213,743.12

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Solution

The fourth proportional to 395,035.16, 545,144.63 and 213,743.12 is: 294,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,035.16 : 545,144.63 = 213,743.12 : x
  2. Step 2: Convert to fraction form
    395,035.16/545,144.63 = 213,743.12/x
  3. Step 3: Cross multiply
    395,035.16x = 545,144.63 × 213,743.12
  4. Step 4: Simplify right side
    395,035.16x = 116,520,910,273.01
  5. Step 5: Solve for x
    x = 116,520,910,273.01/395,035.16
  6. Step 6: Final answer
    x = 294,963.39

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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.