Finding the Fourth Proportional to 208,920,412.11, 288,006,307.51 and 146,001,163.26
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Solution
The fourth proportional to 208,920,412.11, 288,006,307.51 and 146,001,163.26 is: 201,269,256.07
Step by Step Solution
- Step 1: Write the proportion equation
208,920,412.11 : 288,006,307.51 = 146,001,163.26 : x - Step 2: Convert to fraction form
208,920,412.11/288,006,307.51 = 146,001,163.26/x - Step 3: Cross multiply
208,920,412.11x = 288,006,307.51 × 146,001,163.26 - Step 4: Simplify right side
208,920,412.11x = 42,049,255,922,677,272 - Step 5: Solve for x
x = 42,049,255,922,677,272/208,920,412.11 - Step 6: Final answer
x = 201,269,256.07
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.