Finding the Fourth Proportional to 226,608,102,610.68, 312,746,603,817.84 and 128,973,483,274.62
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Solution
The fourth proportional to 226,608,102,610.68, 312,746,603,817.84 and 128,973,483,274.62 is: 177,999,014,209.98
Step by Step Solution
- Step 1: Write the proportion equation
226,608,102,610.68 : 312,746,603,817.84 = 128,973,483,274.62 : x - Step 2: Convert to fraction form
226,608,102,610.68/312,746,603,817.84 = 128,973,483,274.62/x - Step 3: Cross multiply
226,608,102,610.68x = 312,746,603,817.84 × 128,973,483,274.62 - Step 4: Simplify right side
226,608,102,610.68x = 40,336,018,876,694,400,073,728 - Step 5: Solve for x
x = 40,336,018,876,694,400,073,728/226,608,102,610.68 - Step 6: Final answer
x = 177,999,014,209.98
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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.