Finding the Fourth Proportional to 825,243,271,241.70, 1,238,430,346,160.50 and 288,021,231,499.14
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Solution
The fourth proportional to 825,243,271,241.70, 1,238,430,346,160.50 and 288,021,231,499.14 is: 432,229,193,326.66
Step by Step Solution
- Step 1: Write the proportion equation
825,243,271,241.70 : 1,238,430,346,160.50 = 288,021,231,499.14 : x - Step 2: Convert to fraction form
825,243,271,241.70/1,238,430,346,160.50 = 288,021,231,499.14/x - Step 3: Cross multiply
825,243,271,241.70x = 1,238,430,346,160.50 × 288,021,231,499.14 - Step 4: Simplify right side
825,243,271,241.70x = 356,694,233,427,053,492,830,208 - Step 5: Solve for x
x = 356,694,233,427,053,492,830,208/825,243,271,241.70 - Step 6: Final answer
x = 432,229,193,326.66
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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.