Finding the Fourth Proportional to 497,741,595,528.08, 686,876,091,768.70 and 278,013,494,284.84
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Solution
The fourth proportional to 497,741,595,528.08, 686,876,091,768.70 and 278,013,494,284.84 is: 383,654,539,080.12
Step by Step Solution
- Step 1: Write the proportion equation
497,741,595,528.08 : 686,876,091,768.70 = 278,013,494,284.84 : x - Step 2: Convert to fraction form
497,741,595,528.08/686,876,091,768.70 = 278,013,494,284.84/x - Step 3: Cross multiply
497,741,595,528.08x = 686,876,091,768.70 × 278,013,494,284.84 - Step 4: Simplify right side
497,741,595,528.08x = 190,960,822,413,330,722,324,480 - Step 5: Solve for x
x = 190,960,822,413,330,722,324,480/497,741,595,528.08 - Step 6: Final answer
x = 383,654,539,080.12
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.