Finding the Fourth Proportional to 729,172.02, 1,006,107.12 and 419,014.62
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Solution
The fourth proportional to 729,172.02, 1,006,107.12 and 419,014.62 is: 578,153.83
Step by Step Solution
- Step 1: Write the proportion equation
729,172.02 : 1,006,107.12 = 419,014.62 : x - Step 2: Convert to fraction form
729,172.02/1,006,107.12 = 419,014.62/x - Step 3: Cross multiply
729,172.02x = 1,006,107.12 × 419,014.62 - Step 4: Simplify right side
729,172.02x = 421,573,592,566.09 - Step 5: Solve for x
x = 421,573,592,566.09/729,172.02 - Step 6: Final answer
x = 578,153.83
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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.