Finding the Fourth Proportional to 420,580,120.14, 580,399,130.03 and 232,403,172.48
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Solution
The fourth proportional to 420,580,120.14, 580,399,130.03 and 232,403,172.48 is: 320,715,584.65
Step by Step Solution
- Step 1: Write the proportion equation
420,580,120.14 : 580,399,130.03 = 232,403,172.48 : x - Step 2: Convert to fraction form
420,580,120.14/580,399,130.03 = 232,403,172.48/x - Step 3: Cross multiply
420,580,120.14x = 580,399,130.03 × 232,403,172.48 - Step 4: Simplify right side
420,580,120.14x = 134,886,599,122,442,016 - Step 5: Solve for x
x = 134,886,599,122,442,016/420,580,120.14 - Step 6: Final answer
x = 320,715,584.65
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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.