Finding the Fourth Proportional to 312,303,004,216.01, 431,039,953,351.78 and 202,573,337,304.49
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Solution
The fourth proportional to 312,303,004,216.01, 431,039,953,351.78 and 202,573,337,304.49 is: 279,591,296,539.84
Step by Step Solution
- Step 1: Write the proportion equation
312,303,004,216.01 : 431,039,953,351.78 = 202,573,337,304.49 : x - Step 2: Convert to fraction form
312,303,004,216.01/431,039,953,351.78 = 202,573,337,304.49/x - Step 3: Cross multiply
312,303,004,216.01x = 431,039,953,351.78 × 202,573,337,304.49 - Step 4: Simplify right side
312,303,004,216.01x = 87,317,201,862,041,760,956,416 - Step 5: Solve for x
x = 87,317,201,862,041,760,956,416/312,303,004,216.01 - Step 6: Final answer
x = 279,591,296,539.84
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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.