Finding the Fourth Proportional to 1,728,628,549.44, 2,592,949,472.64 and 418,528,419.36
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Solution
The fourth proportional to 1,728,628,549.44, 2,592,949,472.64 and 418,528,419.36 is: 627,794,238.74
Step by Step Solution
- Step 1: Write the proportion equation
1,728,628,549.44 : 2,592,949,472.64 = 418,528,419.36 : x - Step 2: Convert to fraction form
1,728,628,549.44/2,592,949,472.64 = 418,528,419.36/x - Step 3: Cross multiply
1,728,628,549.44x = 2,592,949,472.64 × 418,528,419.36 - Step 4: Simplify right side
1,728,628,549.44x = 1,085,223,044,264,364,800 - Step 5: Solve for x
x = 1,085,223,044,264,364,800/1,728,628,549.44 - Step 6: Final answer
x = 627,794,238.74
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.