Finding the Fourth Proportional to 277,458.14, 416,177.49 and 77,776.94
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Solution
The fourth proportional to 277,458.14, 416,177.49 and 77,776.94 is: 116,662.69
Step by Step Solution
- Step 1: Write the proportion equation
277,458.14 : 416,177.49 = 77,776.94 : x - Step 2: Convert to fraction form
277,458.14/416,177.49 = 77,776.94/x - Step 3: Cross multiply
277,458.14x = 416,177.49 × 77,776.94 - Step 4: Simplify right side
277,458.14x = 32,369,011,669.08 - Step 5: Solve for x
x = 32,369,011,669.08/277,458.14 - Step 6: Final answer
x = 116,662.69
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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.