Finding the Fourth Proportional to 1,159,724,998.44, 1,600,420,758.84 and 638,204,230.44
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Solution
The fourth proportional to 1,159,724,998.44, 1,600,420,758.84 and 638,204,230.44 is: 880,721,981.63
Step by Step Solution
- Step 1: Write the proportion equation
1,159,724,998.44 : 1,600,420,758.84 = 638,204,230.44 : x - Step 2: Convert to fraction form
1,159,724,998.44/1,600,420,758.84 = 638,204,230.44/x - Step 3: Cross multiply
1,159,724,998.44x = 1,600,420,758.84 × 638,204,230.44 - Step 4: Simplify right side
1,159,724,998.44x = 1,021,395,298,775,683,072 - Step 5: Solve for x
x = 1,021,395,298,775,683,072/1,159,724,998.44 - Step 6: Final answer
x = 880,721,981.63
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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.