Finding the Fourth Proportional to 1,102,253,738.41, 1,653,620,022.47 and 402,744,750.51
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Solution
The fourth proportional to 1,102,253,738.41, 1,653,620,022.47 and 402,744,750.51 is: 604,204,603.88
Step by Step Solution
- Step 1: Write the proportion equation
1,102,253,738.41 : 1,653,620,022.47 = 402,744,750.51 : x - Step 2: Convert to fraction form
1,102,253,738.41/1,653,620,022.47 = 402,744,750.51/x - Step 3: Cross multiply
1,102,253,738.41x = 1,653,620,022.47 × 402,744,750.51 - Step 4: Simplify right side
1,102,253,738.41x = 665,986,783,391,112,832 - Step 5: Solve for x
x = 665,986,783,391,112,832/1,102,253,738.41 - Step 6: Final answer
x = 604,204,603.88
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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.