Finding the Fourth Proportional to 299,125,872.57, 412,862,578.79 and 175,406,407.77
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Solution
The fourth proportional to 299,125,872.57, 412,862,578.79 and 175,406,407.77 is: 242,101,230.58
Step by Step Solution
- Step 1: Write the proportion equation
299,125,872.57 : 412,862,578.79 = 175,406,407.77 : x - Step 2: Convert to fraction form
299,125,872.57/412,862,578.79 = 175,406,407.77/x - Step 3: Cross multiply
299,125,872.57x = 412,862,578.79 × 175,406,407.77 - Step 4: Simplify right side
299,125,872.57x = 72,418,741,847,335,472 - Step 5: Solve for x
x = 72,418,741,847,335,472/299,125,872.57 - Step 6: Final answer
x = 242,101,230.58
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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.