Finding the Fourth Proportional to 809,827.74, 1,215,481.41 and 410,743.98
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Solution
The fourth proportional to 809,827.74, 1,215,481.41 and 410,743.98 is: 616,491.20
Step by Step Solution
- Step 1: Write the proportion equation
809,827.74 : 1,215,481.41 = 410,743.98 : x - Step 2: Convert to fraction form
809,827.74/1,215,481.41 = 410,743.98/x - Step 3: Cross multiply
809,827.74x = 1,215,481.41 × 410,743.98 - Step 4: Simplify right side
809,827.74x = 499,251,671,959.41 - Step 5: Solve for x
x = 499,251,671,959.41/809,827.74 - Step 6: Final answer
x = 616,491.20
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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.