Finding the Fourth Proportional to 538,471,413.92, 807,790,632.16 and 227,580,338.79
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Solution
The fourth proportional to 538,471,413.92, 807,790,632.16 and 227,580,338.79 is: 341,405,803.51
Step by Step Solution
- Step 1: Write the proportion equation
538,471,413.92 : 807,790,632.16 = 227,580,338.79 : x - Step 2: Convert to fraction form
538,471,413.92/807,790,632.16 = 227,580,338.79/x - Step 3: Cross multiply
538,471,413.92x = 807,790,632.16 × 227,580,338.79 - Step 4: Simplify right side
538,471,413.92x = 183,837,265,736,117,440 - Step 5: Solve for x
x = 183,837,265,736,117,440/538,471,413.92 - Step 6: Final answer
x = 341,405,803.51
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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.