Finding the Fourth Proportional to 805,143,186.38, 1,207,415,745.55 and 280,377,528.20
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Solution
The fourth proportional to 805,143,186.38, 1,207,415,745.55 and 280,377,528.20 is: 420,462,158.75
Step by Step Solution
- Step 1: Write the proportion equation
805,143,186.38 : 1,207,415,745.55 = 280,377,528.20 : x - Step 2: Convert to fraction form
805,143,186.38/1,207,415,745.55 = 280,377,528.20/x - Step 3: Cross multiply
805,143,186.38x = 1,207,415,745.55 × 280,377,528.20 - Step 4: Simplify right side
805,143,186.38x = 338,532,242,245,667,264 - Step 5: Solve for x
x = 338,532,242,245,667,264/805,143,186.38 - Step 6: Final answer
x = 420,462,158.75
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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.