Finding the Fourth Proportional to 491,734,542.80, 678,632,352.12 and 280,050,324.08
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Solution
The fourth proportional to 491,734,542.80, 678,632,352.12 and 280,050,324.08 is: 386,491,477.82
Step by Step Solution
- Step 1: Write the proportion equation
491,734,542.80 : 678,632,352.12 = 280,050,324.08 : x - Step 2: Convert to fraction form
491,734,542.80/678,632,352.12 = 280,050,324.08/x - Step 3: Cross multiply
491,734,542.80x = 678,632,352.12 × 280,050,324.08 - Step 4: Simplify right side
491,734,542.80x = 190,051,210,142,378,656 - Step 5: Solve for x
x = 190,051,210,142,378,656/491,734,542.80 - Step 6: Final answer
x = 386,491,477.82
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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.