Finding the Fourth Proportional to 1,889,634,647.70, 2,834,451,971.55 and 509,588,658.90
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Solution
The fourth proportional to 1,889,634,647.70, 2,834,451,971.55 and 509,588,658.90 is: 764,382,988.35
Step by Step Solution
- Step 1: Write the proportion equation
1,889,634,647.70 : 2,834,451,971.55 = 509,588,658.90 : x - Step 2: Convert to fraction form
1,889,634,647.70/2,834,451,971.55 = 509,588,658.90/x - Step 3: Cross multiply
1,889,634,647.70x = 2,834,451,971.55 × 509,588,658.90 - Step 4: Simplify right side
1,889,634,647.70x = 1,444,404,578,898,625,536 - Step 5: Solve for x
x = 1,444,404,578,898,625,536/1,889,634,647.70 - Step 6: Final answer
x = 764,382,988.35
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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.