Finding the Fourth Proportional to 742,203,401.12, 1,024,212,633.44 and 412,199,797.76
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Solution
The fourth proportional to 742,203,401.12, 1,024,212,633.44 and 412,199,797.76 is: 568,820,137.08
Step by Step Solution
- Step 1: Write the proportion equation
742,203,401.12 : 1,024,212,633.44 = 412,199,797.76 : x - Step 2: Convert to fraction form
742,203,401.12/1,024,212,633.44 = 412,199,797.76/x - Step 3: Cross multiply
742,203,401.12x = 1,024,212,633.44 × 412,199,797.76 - Step 4: Simplify right side
742,203,401.12x = 422,180,240,367,205,056 - Step 5: Solve for x
x = 422,180,240,367,205,056/742,203,401.12 - Step 6: Final answer
x = 568,820,137.08
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.