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Finding the Fourth Proportional to 324,858.20, 487,214.40 and 213,321.20

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Solution

The fourth proportional to 324,858.20, 487,214.40 and 213,321.20 is: 319,933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,858.20 : 487,214.40 = 213,321.20 : x
  2. Step 2: Convert to fraction form
    324,858.20/487,214.40 = 213,321.20/x
  3. Step 3: Cross multiply
    324,858.20x = 487,214.40 × 213,321.20
  4. Step 4: Simplify right side
    324,858.20x = 103,933,160,465.28
  5. Step 5: Solve for x
    x = 103,933,160,465.28/324,858.20
  6. Step 6: Final answer
    x = 319,933.93

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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.