Finding the Fourth Proportional to 299,498,958,426.60, 413,067,567,792.42 and 263,292,576,722.28
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Solution
The fourth proportional to 299,498,958,426.60, 413,067,567,792.42 and 263,292,576,722.28 is: 363,131,894,868.09
Step by Step Solution
- Step 1: Write the proportion equation
299,498,958,426.60 : 413,067,567,792.42 = 263,292,576,722.28 : x - Step 2: Convert to fraction form
299,498,958,426.60/413,067,567,792.42 = 263,292,576,722.28/x - Step 3: Cross multiply
299,498,958,426.60x = 413,067,567,792.42 × 263,292,576,722.28 - Step 4: Simplify right side
299,498,958,426.60x = 108,757,624,284,471,336,370,176 - Step 5: Solve for x
x = 108,757,624,284,471,336,370,176/299,498,958,426.60 - Step 6: Final answer
x = 363,131,894,868.09
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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.