Finding the Fourth Proportional to 805,143,183.86, 1,207,415,741.80 and 280,377,525.69
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Solution
The fourth proportional to 805,143,183.86, 1,207,415,741.80 and 280,377,525.69 is: 420,462,154.99
Step by Step Solution
- Step 1: Write the proportion equation
805,143,183.86 : 1,207,415,741.80 = 280,377,525.69 : x - Step 2: Convert to fraction form
805,143,183.86/1,207,415,741.80 = 280,377,525.69/x - Step 3: Cross multiply
805,143,183.86x = 1,207,415,741.80 × 280,377,525.69 - Step 4: Simplify right side
805,143,183.86x = 338,532,238,165,039,872 - Step 5: Solve for x
x = 338,532,238,165,039,872/805,143,183.86 - Step 6: Final answer
x = 420,462,154.99
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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.