Finding the Fourth Proportional to 298,731,883,024.08, 412,251,240,625.20 and 161,554,709,250.72
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Solution
The fourth proportional to 298,731,883,024.08, 412,251,240,625.20 and 161,554,709,250.72 is: 222,946,170,469.81
Step by Step Solution
- Step 1: Write the proportion equation
298,731,883,024.08 : 412,251,240,625.20 = 161,554,709,250.72 : x - Step 2: Convert to fraction form
298,731,883,024.08/412,251,240,625.20 = 161,554,709,250.72/x - Step 3: Cross multiply
298,731,883,024.08x = 412,251,240,625.20 × 161,554,709,250.72 - Step 4: Simplify right side
298,731,883,024.08x = 66,601,129,317,452,801,376,256 - Step 5: Solve for x
x = 66,601,129,317,452,801,376,256/298,731,883,024.08 - Step 6: Final answer
x = 222,946,170,469.81
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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.