Finding the Fourth Proportional to 384,016,217.80, 576,024,326.70 and 96,801,881.80
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Solution
The fourth proportional to 384,016,217.80, 576,024,326.70 and 96,801,881.80 is: 145,202,822.70
Step by Step Solution
- Step 1: Write the proportion equation
384,016,217.80 : 576,024,326.70 = 96,801,881.80 : x - Step 2: Convert to fraction form
384,016,217.80/576,024,326.70 = 96,801,881.80/x - Step 3: Cross multiply
384,016,217.80x = 576,024,326.70 × 96,801,881.80 - Step 4: Simplify right side
384,016,217.80x = 55,760,238,787,137,984 - Step 5: Solve for x
x = 55,760,238,787,137,984/384,016,217.80 - Step 6: Final answer
x = 145,202,822.70
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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.