Finding the Fourth Proportional to 842,168,395.53, 1,162,114,391.75 and 465,816,884.49
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Solution
The fourth proportional to 842,168,395.53, 1,162,114,391.75 and 465,816,884.49 is: 642,784,160.81
Step by Step Solution
- Step 1: Write the proportion equation
842,168,395.53 : 1,162,114,391.75 = 465,816,884.49 : x - Step 2: Convert to fraction form
842,168,395.53/1,162,114,391.75 = 465,816,884.49/x - Step 3: Cross multiply
842,168,395.53x = 1,162,114,391.75 × 465,816,884.49 - Step 4: Simplify right side
842,168,395.53x = 541,332,505,383,647,232 - Step 5: Solve for x
x = 541,332,505,383,647,232/842,168,395.53 - Step 6: Final answer
x = 642,784,160.81
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1.5x scale
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.