Finding the Fourth Proportional to 1,672,728,283.14, 2,509,378,277.38 and 689,617,404.06
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Solution
The fourth proportional to 1,672,728,283.14, 2,509,378,277.38 and 689,617,404.06 is: 1,034,543,954.86
Step by Step Solution
- Step 1: Write the proportion equation
1,672,728,283.14 : 2,509,378,277.38 = 689,617,404.06 : x - Step 2: Convert to fraction form
1,672,728,283.14/2,509,378,277.38 = 689,617,404.06/x - Step 3: Cross multiply
1,672,728,283.14x = 2,509,378,277.38 × 689,617,404.06 - Step 4: Simplify right side
1,672,728,283.14x = 1,730,510,933,451,350,272 - Step 5: Solve for x
x = 1,730,510,933,451,350,272/1,672,728,283.14 - Step 6: Final answer
x = 1,034,543,954.86
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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.