Finding the Fourth Proportional to 725,130,283,847.04, 1,000,682,902,739.70 and 395,540,504,578.92
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Solution
The fourth proportional to 725,130,283,847.04, 1,000,682,902,739.70 and 395,540,504,578.92 is: 545,847,593,308.70
Step by Step Solution
- Step 1: Write the proportion equation
725,130,283,847.04 : 1,000,682,902,739.70 = 395,540,504,578.92 : x - Step 2: Convert to fraction form
725,130,283,847.04/1,000,682,902,739.70 = 395,540,504,578.92/x - Step 3: Cross multiply
725,130,283,847.04x = 1,000,682,902,739.70 × 395,540,504,578.92 - Step 4: Simplify right side
725,130,283,847.04x = 395,810,620,273,159,248,543,744 - Step 5: Solve for x
x = 395,810,620,273,159,248,543,744/725,130,283,847.04 - Step 6: Final answer
x = 545,847,593,308.70
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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.