Finding the Fourth Proportional to 686,414.94, 1,029,628.49 and 281,829.66
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Solution
The fourth proportional to 686,414.94, 1,029,628.49 and 281,829.66 is: 422,746.98
Step by Step Solution
- Step 1: Write the proportion equation
686,414.94 : 1,029,628.49 = 281,829.66 : x - Step 2: Convert to fraction form
686,414.94/1,029,628.49 = 281,829.66/x - Step 3: Cross multiply
686,414.94x = 1,029,628.49 × 281,829.66 - Step 4: Simplify right side
686,414.94x = 290,179,845,853.87 - Step 5: Solve for x
x = 290,179,845,853.87/686,414.94 - Step 6: Final answer
x = 422,746.98
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.