Finding the Fourth Proportional to 197,169,367.55, 270,668,906.86 and 169,243,596.14
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Solution
The fourth proportional to 197,169,367.55, 270,668,906.86 and 169,243,596.14 is: 232,333,144.49
Step by Step Solution
- Step 1: Write the proportion equation
197,169,367.55 : 270,668,906.86 = 169,243,596.14 : x - Step 2: Convert to fraction form
197,169,367.55/270,668,906.86 = 169,243,596.14/x - Step 3: Cross multiply
197,169,367.55x = 270,668,906.86 × 169,243,596.14 - Step 4: Simplify right side
197,169,367.55x = 45,808,979,159,422,896 - Step 5: Solve for x
x = 45,808,979,159,422,896/197,169,367.55 - Step 6: Final answer
x = 232,333,144.49
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.