Finding the Fourth Proportional to 1,609,631,998.40, 2,414,447,997.60 and 519,225,291.20
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Solution
The fourth proportional to 1,609,631,998.40, 2,414,447,997.60 and 519,225,291.20 is: 778,837,936.80
Step by Step Solution
- Step 1: Write the proportion equation
1,609,631,998.40 : 2,414,447,997.60 = 519,225,291.20 : x - Step 2: Convert to fraction form
1,609,631,998.40/2,414,447,997.60 = 519,225,291.20/x - Step 3: Cross multiply
1,609,631,998.40x = 2,414,447,997.60 × 519,225,291.20 - Step 4: Simplify right side
1,609,631,998.40x = 1,253,642,464,641,116,928 - Step 5: Solve for x
x = 1,253,642,464,641,116,928/1,609,631,998.40 - Step 6: Final answer
x = 778,837,936.80
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1.5x scale
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.