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Finding the Fourth Proportional to 405,647,998.80, 608,471,998.20 and 244,404,862.80

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Solution

The fourth proportional to 405,647,998.80, 608,471,998.20 and 244,404,862.80 is: 366,607,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,647,998.80 : 608,471,998.20 = 244,404,862.80 : x
  2. Step 2: Convert to fraction form
    405,647,998.80/608,471,998.20 = 244,404,862.80/x
  3. Step 3: Cross multiply
    405,647,998.80x = 608,471,998.20 × 244,404,862.80
  4. Step 4: Simplify right side
    405,647,998.80x = 148,713,515,237,712,864
  5. Step 5: Solve for x
    x = 148,713,515,237,712,864/405,647,998.80
  6. Step 6: Final answer
    x = 366,607,294.20

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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.