Finding the Fourth Proportional to 356,358,112,165.74, 491,783,515,135.98 and 193,787,266,179.09
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Solution
The fourth proportional to 356,358,112,165.74, 491,783,515,135.98 and 193,787,266,179.09 is: 267,431,495,724.79
Step by Step Solution
- Step 1: Write the proportion equation
356,358,112,165.74 : 491,783,515,135.98 = 193,787,266,179.09 : x - Step 2: Convert to fraction form
356,358,112,165.74/491,783,515,135.98 = 193,787,266,179.09/x - Step 3: Cross multiply
356,358,112,165.74x = 491,783,515,135.98 × 193,787,266,179.09 - Step 4: Simplify right side
356,358,112,165.74x = 95,301,382,950,144,691,929,088 - Step 5: Solve for x
x = 95,301,382,950,144,691,929,088/356,358,112,165.74 - Step 6: Final answer
x = 267,431,495,724.79
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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.