Finding the Fourth Proportional to 803,916,220,318.05, 1,206,230,431,923.50 and 421,369,381,674.21
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Solution
The fourth proportional to 803,916,220,318.05, 1,206,230,431,923.50 and 421,369,381,674.21 is: 632,240,721,620.39
Step by Step Solution
- Step 1: Write the proportion equation
803,916,220,318.05 : 1,206,230,431,923.50 = 421,369,381,674.21 : x - Step 2: Convert to fraction form
803,916,220,318.05/1,206,230,431,923.50 = 421,369,381,674.21/x - Step 3: Cross multiply
803,916,220,318.05x = 1,206,230,431,923.50 × 421,369,381,674.21 - Step 4: Simplify right side
803,916,220,318.05x = 508,268,571,256,220,486,205,440 - Step 5: Solve for x
x = 508,268,571,256,220,486,205,440/803,916,220,318.05 - Step 6: Final answer
x = 632,240,721,620.39
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1.5x scale
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.