Finding the Fourth Proportional to 450,016,382.19, 678,397,538.84 and 420,018,199.95
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Solution
The fourth proportional to 450,016,382.19, 678,397,538.84 and 420,018,199.95 is: 633,175,422.92
Step by Step Solution
- Step 1: Write the proportion equation
450,016,382.19 : 678,397,538.84 = 420,018,199.95 : x - Step 2: Convert to fraction form
450,016,382.19/678,397,538.84 = 420,018,199.95/x - Step 3: Cross multiply
450,016,382.19x = 678,397,538.84 × 420,018,199.95 - Step 4: Simplify right side
450,016,382.19x = 284,939,313,115,137,024 - Step 5: Solve for x
x = 284,939,313,115,137,024/450,016,382.19 - Step 6: Final answer
x = 633,175,422.92
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.