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Finding the Fourth Proportional to 324,208.80, 486,021.60 and 205,819.20

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Solution

The fourth proportional to 324,208.80, 486,021.60 and 205,819.20 is: 308,543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,208.80 : 486,021.60 = 205,819.20 : x
  2. Step 2: Convert to fraction form
    324,208.80/486,021.60 = 205,819.20/x
  3. Step 3: Cross multiply
    324,208.80x = 486,021.60 × 205,819.20
  4. Step 4: Simplify right side
    324,208.80x = 100,032,576,894.72
  5. Step 5: Solve for x
    x = 100,032,576,894.72/324,208.80
  6. Step 6: Final answer
    x = 308,543.68

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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.