Finding the Fourth Proportional to 272,629,251,404.70, 408,943,877,107.05 and 259,611,922,974.30
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Solution
The fourth proportional to 272,629,251,404.70, 408,943,877,107.05 and 259,611,922,974.30 is: 389,417,884,461.45
Step by Step Solution
- Step 1: Write the proportion equation
272,629,251,404.70 : 408,943,877,107.05 = 259,611,922,974.30 : x - Step 2: Convert to fraction form
272,629,251,404.70/408,943,877,107.05 = 259,611,922,974.30/x - Step 3: Cross multiply
272,629,251,404.70x = 408,943,877,107.05 × 259,611,922,974.30 - Step 4: Simplify right side
272,629,251,404.70x = 106,166,706,324,327,064,666,112 - Step 5: Solve for x
x = 106,166,706,324,327,064,666,112/272,629,251,404.70 - Step 6: Final answer
x = 389,417,884,461.45
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.