Finding the Fourth Proportional to 780,568,230,003.08, 1,169,467,167,140.90 and 326,285,715,345.80
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Solution
The fourth proportional to 780,568,230,003.08, 1,169,467,167,140.90 and 326,285,715,345.80 is: 488,849,554,128.65
Step by Step Solution
- Step 1: Write the proportion equation
780,568,230,003.08 : 1,169,467,167,140.90 = 326,285,715,345.80 : x - Step 2: Convert to fraction form
780,568,230,003.08/1,169,467,167,140.90 = 326,285,715,345.80/x - Step 3: Cross multiply
780,568,230,003.08x = 1,169,467,167,140.90 × 326,285,715,345.80 - Step 4: Simplify right side
780,568,230,003.08x = 381,580,431,203,994,758,545,408 - Step 5: Solve for x
x = 381,580,431,203,994,758,545,408/780,568,230,003.08 - Step 6: Final answer
x = 488,849,554,128.65
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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.