Finding the Fourth Proportional to 5,448,320,981.71, 8,172,481,580.70 and 1,307,764,506.13
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Solution
The fourth proportional to 5,448,320,981.71, 8,172,481,580.70 and 1,307,764,506.13 is: 1,961,646,785.15
Step by Step Solution
- Step 1: Write the proportion equation
5,448,320,981.71 : 8,172,481,580.70 = 1,307,764,506.13 : x - Step 2: Convert to fraction form
5,448,320,981.71/8,172,481,580.70 = 1,307,764,506.13/x - Step 3: Cross multiply
5,448,320,981.71x = 8,172,481,580.70 × 1,307,764,506.13 - Step 4: Simplify right side
5,448,320,981.71x = 10,687,681,338,240,657,408 - Step 5: Solve for x
x = 10,687,681,338,240,657,408/5,448,320,981.71 - Step 6: Final answer
x = 1,961,646,785.15
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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.