Finding the Fourth Proportional to 830,489,672.10, 1,246,212,805.05 and 313,291,290.90
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Solution
The fourth proportional to 830,489,672.10, 1,246,212,805.05 and 313,291,290.90 is: 470,117,367.56
Step by Step Solution
- Step 1: Write the proportion equation
830,489,672.10 : 1,246,212,805.05 = 313,291,290.90 : x - Step 2: Convert to fraction form
830,489,672.10/1,246,212,805.05 = 313,291,290.90/x - Step 3: Cross multiply
830,489,672.10x = 1,246,212,805.05 × 313,291,290.90 - Step 4: Simplify right side
830,489,672.10x = 390,427,618,430,224,512 - Step 5: Solve for x
x = 390,427,618,430,224,512/830,489,672.10 - Step 6: Final answer
x = 470,117,367.56
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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.