Finding the Fourth Proportional to 298,240,932,792.92, 411,572,471,514.16 and 161,063,745,821.96
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Solution
The fourth proportional to 298,240,932,792.92, 411,572,471,514.16 and 161,063,745,821.96 is: 222,267,960,733.95
Step by Step Solution
- Step 1: Write the proportion equation
298,240,932,792.92 : 411,572,471,514.16 = 161,063,745,821.96 : x - Step 2: Convert to fraction form
298,240,932,792.92/411,572,471,514.16 = 161,063,745,821.96/x - Step 3: Cross multiply
298,240,932,792.92x = 411,572,471,514.16 × 161,063,745,821.96 - Step 4: Simplify right side
298,240,932,792.92x = 66,289,403,939,272,527,970,304 - Step 5: Solve for x
x = 66,289,403,939,272,527,970,304/298,240,932,792.92 - Step 6: Final answer
x = 222,267,960,733.95
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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.