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Finding the Fourth Proportional to 395,483.22, 545,764.12 and 214,191

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Solution

The fourth proportional to 395,483.22, 545,764.12 and 214,191 is: 295,582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,483.22 : 545,764.12 = 214,191 : x
  2. Step 2: Convert to fraction form
    395,483.22/545,764.12 = 214,191/x
  3. Step 3: Cross multiply
    395,483.22x = 545,764.12 × 214,191
  4. Step 4: Simplify right side
    395,483.22x = 116,897,762,091.44
  5. Step 5: Solve for x
    x = 116,897,762,091.44/395,483.22
  6. Step 6: Final answer
    x = 295,582.10

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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.