Finding the Fourth Proportional to 298,306,911,804.79, 411,663,703,147.07 and 161,129,737,228.67
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Solution
The fourth proportional to 298,306,911,804.79, 411,663,703,147.07 and 161,129,737,228.67 is: 222,359,126,422.37
Step by Step Solution
- Step 1: Write the proportion equation
298,306,911,804.79 : 411,663,703,147.07 = 161,129,737,228.67 : x - Step 2: Convert to fraction form
298,306,911,804.79/411,663,703,147.07 = 161,129,737,228.67/x - Step 3: Cross multiply
298,306,911,804.79x = 411,663,703,147.07 × 161,129,737,228.67 - Step 4: Simplify right side
298,306,911,804.79x = 66,331,264,314,668,610,486,272 - Step 5: Solve for x
x = 66,331,264,314,668,610,486,272/298,306,911,804.79 - Step 6: Final answer
x = 222,359,126,422.37
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1.5x scale
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.