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Finding the Fourth Proportional to 404,636.80, 606,809.40 and 204,890.80

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Solution

The fourth proportional to 404,636.80, 606,809.40 and 204,890.80 is: 307,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,636.80 : 606,809.40 = 204,890.80 : x
  2. Step 2: Convert to fraction form
    404,636.80/606,809.40 = 204,890.80/x
  3. Step 3: Cross multiply
    404,636.80x = 606,809.40 × 204,890.80
  4. Step 4: Simplify right side
    404,636.80x = 124,329,663,413.52
  5. Step 5: Solve for x
    x = 124,329,663,413.52/404,636.80
  6. Step 6: Final answer
    x = 307,262.37

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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.