Finding the Fourth Proportional to 343,043,753,570.20, 474,079,605,797.97 and 281,146,695,721.75
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Solution
The fourth proportional to 343,043,753,570.20, 474,079,605,797.97 and 281,146,695,721.75 is: 388,539,109,929.88
Step by Step Solution
- Step 1: Write the proportion equation
343,043,753,570.20 : 474,079,605,797.97 = 281,146,695,721.75 : x - Step 2: Convert to fraction form
343,043,753,570.20/474,079,605,797.97 = 281,146,695,721.75/x - Step 3: Cross multiply
343,043,753,570.20x = 474,079,605,797.97 × 281,146,695,721.75 - Step 4: Simplify right side
343,043,753,570.20x = 133,285,914,679,169,047,855,104 - Step 5: Solve for x
x = 133,285,914,679,169,047,855,104/343,043,753,570.20 - Step 6: Final answer
x = 388,539,109,929.88
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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.