Finding the Fourth Proportional to 278,307,847.84, 384,195,590.29 and 160,810,449.99
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Solution
The fourth proportional to 278,307,847.84, 384,195,590.29 and 160,810,449.99 is: 221,993,976.23
Step by Step Solution
- Step 1: Write the proportion equation
278,307,847.84 : 384,195,590.29 = 160,810,449.99 : x - Step 2: Convert to fraction form
278,307,847.84/384,195,590.29 = 160,810,449.99/x - Step 3: Cross multiply
278,307,847.84x = 384,195,590.29 × 160,810,449.99 - Step 4: Simplify right side
278,307,847.84x = 61,782,665,758,708,584 - Step 5: Solve for x
x = 61,782,665,758,708,584/278,307,847.84 - Step 6: Final answer
x = 221,993,976.23
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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.