Finding the Fourth Proportional to 298,335,413.73, 411,681,708.99 and 164,367,478.20
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Solution
The fourth proportional to 298,335,413.73, 411,681,708.99 and 164,367,478.20 is: 226,815,460.77
Step by Step Solution
- Step 1: Write the proportion equation
298,335,413.73 : 411,681,708.99 = 164,367,478.20 : x - Step 2: Convert to fraction form
298,335,413.73/411,681,708.99 = 164,367,478.20/x - Step 3: Cross multiply
298,335,413.73x = 411,681,708.99 × 164,367,478.20 - Step 4: Simplify right side
298,335,413.73x = 67,667,084,327,752,568 - Step 5: Solve for x
x = 67,667,084,327,752,568/298,335,413.73 - Step 6: Final answer
x = 226,815,460.77
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.