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Finding the Fourth Proportional to 393,021.52, 589,656.89 and 140,296.58

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Solution

The fourth proportional to 393,021.52, 589,656.89 and 140,296.58 is: 210,489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,021.52 : 589,656.89 = 140,296.58 : x
  2. Step 2: Convert to fraction form
    393,021.52/589,656.89 = 140,296.58/x
  3. Step 3: Cross multiply
    393,021.52x = 589,656.89 × 140,296.58
  4. Step 4: Simplify right side
    393,021.52x = 82,726,846,339.21
  5. Step 5: Solve for x
    x = 82,726,846,339.21/393,021.52
  6. Step 6: Final answer
    x = 210,489.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.