Finding the Fourth Proportional to 1,340,854,471.95, 2,011,366,723.91 and 420,767,125.71
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Solution
The fourth proportional to 1,340,854,471.95, 2,011,366,723.91 and 420,767,125.71 is: 631,177,367.02
Step by Step Solution
- Step 1: Write the proportion equation
1,340,854,471.95 : 2,011,366,723.91 = 420,767,125.71 : x - Step 2: Convert to fraction form
1,340,854,471.95/2,011,366,723.91 = 420,767,125.71/x - Step 3: Cross multiply
1,340,854,471.95x = 2,011,366,723.91 × 420,767,125.71 - Step 4: Simplify right side
1,340,854,471.95x = 846,316,995,166,245,888 - Step 5: Solve for x
x = 846,316,995,166,245,888/1,340,854,471.95 - Step 6: Final answer
x = 631,177,367.02
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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.