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Finding the Fourth Proportional to 395,141.52, 545,296 and 213,853.68

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Solution

The fourth proportional to 395,141.52, 545,296 and 213,853.68 is: 295,118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,141.52 : 545,296 = 213,853.68 : x
  2. Step 2: Convert to fraction form
    395,141.52/545,296 = 213,853.68/x
  3. Step 3: Cross multiply
    395,141.52x = 545,296 × 213,853.68
  4. Step 4: Simplify right side
    395,141.52x = 116,613,556,289.28
  5. Step 5: Solve for x
    x = 116,613,556,289.28/395,141.52
  6. Step 6: Final answer
    x = 295,118.46

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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.