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Finding the Fourth Proportional to 682,204.80, 1,023,355.80 and 208,889.40

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Solution

The fourth proportional to 682,204.80, 1,023,355.80 and 208,889.40 is: 313,348.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,204.80 : 1,023,355.80 = 208,889.40 : x
  2. Step 2: Convert to fraction form
    682,204.80/1,023,355.80 = 208,889.40/x
  3. Step 3: Cross multiply
    682,204.80x = 1,023,355.80 × 208,889.40
  4. Step 4: Simplify right side
    682,204.80x = 213,768,179,048.52
  5. Step 5: Solve for x
    x = 213,768,179,048.52/682,204.80
  6. Step 6: Final answer
    x = 313,348.98

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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.