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Finding the Fourth Proportional to 395,070.33, 545,198.50 and 213,782.26

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Solution

The fourth proportional to 395,070.33, 545,198.50 and 213,782.26 is: 295,020.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,070.33 : 545,198.50 = 213,782.26 : x
  2. Step 2: Convert to fraction form
    395,070.33/545,198.50 = 213,782.26/x
  3. Step 3: Cross multiply
    395,070.33x = 545,198.50 × 213,782.26
  4. Step 4: Simplify right side
    395,070.33x = 116,553,765,581.16
  5. Step 5: Solve for x
    x = 116,553,765,581.16/395,070.33
  6. Step 6: Final answer
    x = 295,020.30

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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.