Finding the Fourth Proportional to 725,130,283,818.90, 1,000,682,902,700.70 and 395,540,504,550.72
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Solution
The fourth proportional to 725,130,283,818.90, 1,000,682,902,700.70 and 395,540,504,550.72 is: 545,847,593,269.69
Step by Step Solution
- Step 1: Write the proportion equation
725,130,283,818.90 : 1,000,682,902,700.70 = 395,540,504,550.72 : x - Step 2: Convert to fraction form
725,130,283,818.90/1,000,682,902,700.70 = 395,540,504,550.72/x - Step 3: Cross multiply
725,130,283,818.90x = 1,000,682,902,700.70 × 395,540,504,550.72 - Step 4: Simplify right side
725,130,283,818.90x = 395,810,620,229,513,857,990,656 - Step 5: Solve for x
x = 395,810,620,229,513,857,990,656/725,130,283,818.90 - Step 6: Final answer
x = 545,847,593,269.69
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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.