Finding the Fourth Proportional to 782,207.56, 1,173,648.51 and 422,306.96
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Solution
The fourth proportional to 782,207.56, 1,173,648.51 and 422,306.96 is: 633,642.47
Step by Step Solution
- Step 1: Write the proportion equation
782,207.56 : 1,173,648.51 = 422,306.96 : x - Step 2: Convert to fraction form
782,207.56/1,173,648.51 = 422,306.96/x - Step 3: Cross multiply
782,207.56x = 1,173,648.51 × 422,306.96 - Step 4: Simplify right side
782,207.56x = 495,639,928,498.39 - Step 5: Solve for x
x = 495,639,928,498.39/782,207.56 - Step 6: Final answer
x = 633,642.47
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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.