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Finding the Fourth Proportional to 201,204,413.80, 301,806,620.70 and 139,982,410.60

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Solution

The fourth proportional to 201,204,413.80, 301,806,620.70 and 139,982,410.60 is: 209,973,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204,413.80 : 301,806,620.70 = 139,982,410.60 : x
  2. Step 2: Convert to fraction form
    201,204,413.80/301,806,620.70 = 139,982,410.60/x
  3. Step 3: Cross multiply
    201,204,413.80x = 301,806,620.70 × 139,982,410.60
  4. Step 4: Simplify right side
    201,204,413.80x = 42,247,618,300,625,856
  5. Step 5: Solve for x
    x = 42,247,618,300,625,856/201,204,413.80
  6. Step 6: Final answer
    x = 209,973,615.90

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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.