Finding the Fourth Proportional to 1,675,382,502.78, 2,311,999,646.76 and 922,765,764.11
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Solution
The fourth proportional to 1,675,382,502.78, 2,311,999,646.76 and 922,765,764.11 is: 1,273,401,218.60
Step by Step Solution
- Step 1: Write the proportion equation
1,675,382,502.78 : 2,311,999,646.76 = 922,765,764.11 : x - Step 2: Convert to fraction form
1,675,382,502.78/2,311,999,646.76 = 922,765,764.11/x - Step 3: Cross multiply
1,675,382,502.78x = 2,311,999,646.76 × 922,765,764.11 - Step 4: Simplify right side
1,675,382,502.78x = 2,133,434,120,652,981,760 - Step 5: Solve for x
x = 2,133,434,120,652,981,760/1,675,382,502.78 - Step 6: Final answer
x = 1,273,401,218.60
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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.