Finding the Fourth Proportional to 906,994,257,415.20, 1,360,491,386,122.80 and 278,774,875,245.60
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Solution
The fourth proportional to 906,994,257,415.20, 1,360,491,386,122.80 and 278,774,875,245.60 is: 418,162,312,868.40
Step by Step Solution
- Step 1: Write the proportion equation
906,994,257,415.20 : 1,360,491,386,122.80 = 278,774,875,245.60 : x - Step 2: Convert to fraction form
906,994,257,415.20/1,360,491,386,122.80 = 278,774,875,245.60/x - Step 3: Cross multiply
906,994,257,415.20x = 1,360,491,386,122.80 × 278,774,875,245.60 - Step 4: Simplify right side
906,994,257,415.20x = 379,270,816,439,096,936,759,296 - Step 5: Solve for x
x = 379,270,816,439,096,936,759,296/906,994,257,415.20 - Step 6: Final answer
x = 418,162,312,868.40
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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.