Finding the Fourth Proportional to 777,052,735.84, 1,072,442,151.12 and 494,704,985.14
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Solution
The fourth proportional to 777,052,735.84, 1,072,442,151.12 and 494,704,985.14 is: 682,762,512.71
Step by Step Solution
- Step 1: Write the proportion equation
777,052,735.84 : 1,072,442,151.12 = 494,704,985.14 : x - Step 2: Convert to fraction form
777,052,735.84/1,072,442,151.12 = 494,704,985.14/x - Step 3: Cross multiply
777,052,735.84x = 1,072,442,151.12 × 494,704,985.14 - Step 4: Simplify right side
777,052,735.84x = 530,542,478,433,329,216 - Step 5: Solve for x
x = 530,542,478,433,329,216/777,052,735.84 - Step 6: Final answer
x = 682,762,512.71
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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.