Finding the Fourth Proportional to 1,513,532,783.67, 2,270,418,027.75 and 408,120,998.19
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Solution
The fourth proportional to 1,513,532,783.67, 2,270,418,027.75 and 408,120,998.19 is: 612,213,545.55
Step by Step Solution
- Step 1: Write the proportion equation
1,513,532,783.67 : 2,270,418,027.75 = 408,120,998.19 : x - Step 2: Convert to fraction form
1,513,532,783.67/2,270,418,027.75 = 408,120,998.19/x - Step 3: Cross multiply
1,513,532,783.67x = 2,270,418,027.75 × 408,120,998.19 - Step 4: Simplify right side
1,513,532,783.67x = 926,605,271,793,901,056 - Step 5: Solve for x
x = 926,605,271,793,901,056/1,513,532,783.67 - Step 6: Final answer
x = 612,213,545.55
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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.