Finding the Fourth Proportional to 286,471,223,235.09, 395,331,517,113.61 and 156,262,915,376.07
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Solution
The fourth proportional to 286,471,223,235.09, 395,331,517,113.61 and 156,262,915,376.07 is: 215,643,493,634.69
Step by Step Solution
- Step 1: Write the proportion equation
286,471,223,235.09 : 395,331,517,113.61 = 156,262,915,376.07 : x - Step 2: Convert to fraction form
286,471,223,235.09/395,331,517,113.61 = 156,262,915,376.07/x - Step 3: Cross multiply
286,471,223,235.09x = 395,331,517,113.61 × 156,262,915,376.07 - Step 4: Simplify right side
286,471,223,235.09x = 61,775,655,404,217,412,091,904 - Step 5: Solve for x
x = 61,775,655,404,217,412,091,904/286,471,223,235.09 - Step 6: Final answer
x = 215,643,493,634.69
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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.