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Finding the Fourth Proportional to 807,906.06, 1,211,889.72 and 302,413.80

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Solution

The fourth proportional to 807,906.06, 1,211,889.72 and 302,413.80 is: 453,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,906.06 : 1,211,889.72 = 302,413.80 : x
  2. Step 2: Convert to fraction form
    807,906.06/1,211,889.72 = 302,413.80/x
  3. Step 3: Cross multiply
    807,906.06x = 1,211,889.72 × 302,413.80
  4. Step 4: Simplify right side
    807,906.06x = 366,492,175,406.14
  5. Step 5: Solve for x
    x = 366,492,175,406.14/807,906.06
  6. Step 6: Final answer
    x = 453,632.17

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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.