Finding the Fourth Proportional to 406,273,245.76, 609,328,390.74 and 198,922,317.76
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Solution
The fourth proportional to 406,273,245.76, 609,328,390.74 and 198,922,317.76 is: 298,343,582.87
Step by Step Solution
- Step 1: Write the proportion equation
406,273,245.76 : 609,328,390.74 = 198,922,317.76 : x - Step 2: Convert to fraction form
406,273,245.76/609,328,390.74 = 198,922,317.76/x - Step 3: Cross multiply
406,273,245.76x = 609,328,390.74 × 198,922,317.76 - Step 4: Simplify right side
406,273,245.76x = 121,209,015,762,971,712 - Step 5: Solve for x
x = 121,209,015,762,971,712/406,273,245.76 - Step 6: Final answer
x = 298,343,582.87
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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.