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Finding the Fourth Proportional to 361,902,608.40, 542,853,912.60 and 208,847,600.40

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Solution

The fourth proportional to 361,902,608.40, 542,853,912.60 and 208,847,600.40 is: 313,271,400.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,902,608.40 : 542,853,912.60 = 208,847,600.40 : x
  2. Step 2: Convert to fraction form
    361,902,608.40/542,853,912.60 = 208,847,600.40/x
  3. Step 3: Cross multiply
    361,902,608.40x = 542,853,912.60 × 208,847,600.40
  4. Step 4: Simplify right side
    361,902,608.40x = 113,373,737,014,261,328
  5. Step 5: Solve for x
    x = 113,373,737,014,261,328/361,902,608.40
  6. Step 6: Final answer
    x = 313,271,400.60

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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.