Finding the Fourth Proportional to 765,085.49, 1,149,699.81 and 410,354.09
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Solution
The fourth proportional to 765,085.49, 1,149,699.81 and 410,354.09 is: 616,642.23
Step by Step Solution
- Step 1: Write the proportion equation
765,085.49 : 1,149,699.81 = 410,354.09 : x - Step 2: Convert to fraction form
765,085.49/1,149,699.81 = 410,354.09/x - Step 3: Cross multiply
765,085.49x = 1,149,699.81 × 410,354.09 - Step 4: Simplify right side
765,085.49x = 471,784,019,305.72 - Step 5: Solve for x
x = 471,784,019,305.72/765,085.49 - Step 6: Final answer
x = 616,642.23
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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.