Finding the Fourth Proportional to 830,716,599.17, 1,146,741,889.97 and 517,605,512.28
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Solution
The fourth proportional to 830,716,599.17, 1,146,741,889.97 and 517,605,512.28 is: 714,515,544.78
Step by Step Solution
- Step 1: Write the proportion equation
830,716,599.17 : 1,146,741,889.97 = 517,605,512.28 : x - Step 2: Convert to fraction form
830,716,599.17/1,146,741,889.97 = 517,605,512.28/x - Step 3: Cross multiply
830,716,599.17x = 1,146,741,889.97 × 517,605,512.28 - Step 4: Simplify right side
830,716,599.17x = 593,559,923,410,857,216 - Step 5: Solve for x
x = 593,559,923,410,857,216/830,716,599.17 - Step 6: Final answer
x = 714,515,544.78
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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.