Finding the Fourth Proportional to 795,127,543,671.90, 1,192,858,844,745.20 and 257,863,611,314.12
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Solution
The fourth proportional to 795,127,543,671.90, 1,192,858,844,745.20 and 257,863,611,314.12 is: 386,849,747,492.73
Step by Step Solution
- Step 1: Write the proportion equation
795,127,543,671.90 : 1,192,858,844,745.20 = 257,863,611,314.12 : x - Step 2: Convert to fraction form
795,127,543,671.90/1,192,858,844,745.20 = 257,863,611,314.12/x - Step 3: Cross multiply
795,127,543,671.90x = 1,192,858,844,745.20 × 257,863,611,314.12 - Step 4: Simplify right side
795,127,543,671.90x = 307,594,889,493,986,448,244,736 - Step 5: Solve for x
x = 307,594,889,493,986,448,244,736/795,127,543,671.90 - Step 6: Final answer
x = 386,849,747,492.73
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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.