Finding the Fourth Proportional to 298,306,911,804.29, 411,663,703,146.37 and 161,129,737,228.17
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Solution
The fourth proportional to 298,306,911,804.29, 411,663,703,146.37 and 161,129,737,228.17 is: 222,359,126,421.68
Step by Step Solution
- Step 1: Write the proportion equation
298,306,911,804.29 : 411,663,703,146.37 = 161,129,737,228.17 : x - Step 2: Convert to fraction form
298,306,911,804.29/411,663,703,146.37 = 161,129,737,228.17/x - Step 3: Cross multiply
298,306,911,804.29x = 411,663,703,146.37 × 161,129,737,228.17 - Step 4: Simplify right side
298,306,911,804.29x = 66,331,264,314,349,985,988,608 - Step 5: Solve for x
x = 66,331,264,314,349,985,988,608/298,306,911,804.29 - Step 6: Final answer
x = 222,359,126,421.68
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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.