Finding the Fourth Proportional to 225,344,515,403.12, 310,982,889,097.68 and 123,849,998,253.68
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Solution
The fourth proportional to 225,344,515,403.12, 310,982,889,097.68 and 123,849,998,253.68 is: 170,917,096,441.30
Step by Step Solution
- Step 1: Write the proportion equation
225,344,515,403.12 : 310,982,889,097.68 = 123,849,998,253.68 : x - Step 2: Convert to fraction form
225,344,515,403.12/310,982,889,097.68 = 123,849,998,253.68/x - Step 3: Cross multiply
225,344,515,403.12x = 310,982,889,097.68 × 123,849,998,253.68 - Step 4: Simplify right side
225,344,515,403.12x = 38,515,230,271,672,028,233,728 - Step 5: Solve for x
x = 38,515,230,271,672,028,233,728/225,344,515,403.12 - Step 6: Final answer
x = 170,917,096,441.30
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1.5x scale
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.