Finding the Fourth Proportional to 282,193.31, 389,413.14 and 161,347.88
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Solution
The fourth proportional to 282,193.31, 389,413.14 and 161,347.88 is: 222,652.28
Step by Step Solution
- Step 1: Write the proportion equation
282,193.31 : 389,413.14 = 161,347.88 : x - Step 2: Convert to fraction form
282,193.31/389,413.14 = 161,347.88/x - Step 3: Cross multiply
282,193.31x = 389,413.14 × 161,347.88 - Step 4: Simplify right side
282,193.31x = 62,830,982,636.08 - Step 5: Solve for x
x = 62,830,982,636.08/282,193.31 - Step 6: Final answer
x = 222,652.28
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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.