Finding the Fourth Proportional to 1,340,712,932.99, 2,011,358,861.87 and 408,108,707.78
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Solution
The fourth proportional to 1,340,712,932.99, 2,011,358,861.87 and 408,108,707.78 is: 612,251,173.08
Step by Step Solution
- Step 1: Write the proportion equation
1,340,712,932.99 : 2,011,358,861.87 = 408,108,707.78 : x - Step 2: Convert to fraction form
1,340,712,932.99/2,011,358,861.87 = 408,108,707.78/x - Step 3: Cross multiply
1,340,712,932.99x = 2,011,358,861.87 × 408,108,707.78 - Step 4: Simplify right side
1,340,712,932.99x = 820,853,065,987,519,872 - Step 5: Solve for x
x = 820,853,065,987,519,872/1,340,712,932.99 - Step 6: Final answer
x = 612,251,173.08
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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.