Finding the Fourth Proportional to 180,505,457.94, 249,331,194.86 and 149,269,676.88
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Solution
The fourth proportional to 180,505,457.94, 249,331,194.86 and 149,269,676.88 is: 206,185,382.52
Step by Step Solution
- Step 1: Write the proportion equation
180,505,457.94 : 249,331,194.86 = 149,269,676.88 : x - Step 2: Convert to fraction form
180,505,457.94/249,331,194.86 = 149,269,676.88/x - Step 3: Cross multiply
180,505,457.94x = 249,331,194.86 × 149,269,676.88 - Step 4: Simplify right side
180,505,457.94x = 37,217,586,892,110,168 - Step 5: Solve for x
x = 37,217,586,892,110,168/180,505,457.94 - Step 6: Final answer
x = 206,185,382.52
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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.