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Finding the Fourth Proportional to 298,942.40, 448,413.60 and 111,929.60

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Solution

The fourth proportional to 298,942.40, 448,413.60 and 111,929.60 is: 167,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,942.40 : 448,413.60 = 111,929.60 : x
  2. Step 2: Convert to fraction form
    298,942.40/448,413.60 = 111,929.60/x
  3. Step 3: Cross multiply
    298,942.40x = 448,413.60 × 111,929.60
  4. Step 4: Simplify right side
    298,942.40x = 50,190,754,882.56
  5. Step 5: Solve for x
    x = 50,190,754,882.56/298,942.40
  6. Step 6: Final answer
    x = 167,894.40

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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.