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Finding the Fourth Proportional to 395,266.22, 545,467.26 and 213,978.02

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Solution

The fourth proportional to 395,266.22, 545,467.26 and 213,978.02 is: 295,289.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,266.22 : 545,467.26 = 213,978.02 : x
  2. Step 2: Convert to fraction form
    395,266.22/545,467.26 = 213,978.02/x
  3. Step 3: Cross multiply
    395,266.22x = 545,467.26 × 213,978.02
  4. Step 4: Simplify right side
    395,266.22x = 116,718,004,269.63
  5. Step 5: Solve for x
    x = 116,718,004,269.63/395,266.22
  6. Step 6: Final answer
    x = 295,289.60

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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.