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Finding the Fourth Proportional to 395,447.54, 545,714.69 and 214,155.27

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Solution

The fourth proportional to 395,447.54, 545,714.69 and 214,155.27 is: 295,532.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,447.54 : 545,714.69 = 214,155.27 : x
  2. Step 2: Convert to fraction form
    395,447.54/545,714.69 = 214,155.27/x
  3. Step 3: Cross multiply
    395,447.54x = 545,714.69 × 214,155.27
  4. Step 4: Simplify right side
    395,447.54x = 116,867,675,709.14
  5. Step 5: Solve for x
    x = 116,867,675,709.14/395,447.54
  6. Step 6: Final answer
    x = 295,532.69

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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.