Finding the Fourth Proportional to 538,456,514.78, 743,127,107.18 and 315,625,419.41
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Solution
The fourth proportional to 538,456,514.78, 743,127,107.18 and 315,625,419.41 is: 435,596,558.75
Step by Step Solution
- Step 1: Write the proportion equation
538,456,514.78 : 743,127,107.18 = 315,625,419.41 : x - Step 2: Convert to fraction form
538,456,514.78/743,127,107.18 = 315,625,419.41/x - Step 3: Cross multiply
538,456,514.78x = 743,127,107.18 × 315,625,419.41 - Step 4: Simplify right side
538,456,514.78x = 234,549,804,873,333,728 - Step 5: Solve for x
x = 234,549,804,873,333,728/538,456,514.78 - Step 6: Final answer
x = 435,596,558.75
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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.