Finding the Fourth Proportional to 729,464.06, 1,006,828.36 and 427,755.26
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Solution
The fourth proportional to 729,464.06, 1,006,828.36 and 427,755.26 is: 590,400.74
Step by Step Solution
- Step 1: Write the proportion equation
729,464.06 : 1,006,828.36 = 427,755.26 : x - Step 2: Convert to fraction form
729,464.06/1,006,828.36 = 427,755.26/x - Step 3: Cross multiply
729,464.06x = 1,006,828.36 × 427,755.26 - Step 4: Simplify right side
729,464.06x = 430,676,120,803.64 - Step 5: Solve for x
x = 430,676,120,803.64/729,464.06 - Step 6: Final answer
x = 590,400.74
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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.