Finding the Fourth Proportional to 406,113,849,523.30, 560,442,190,792.62 and 223,230,918,236.80
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Solution
The fourth proportional to 406,113,849,523.30, 560,442,190,792.62 and 223,230,918,236.80 is: 308,061,458,667.65
Step by Step Solution
- Step 1: Write the proportion equation
406,113,849,523.30 : 560,442,190,792.62 = 223,230,918,236.80 : x - Step 2: Convert to fraction form
406,113,849,523.30/560,442,190,792.62 = 223,230,918,236.80/x - Step 3: Cross multiply
406,113,849,523.30x = 560,442,190,792.62 × 223,230,918,236.80 - Step 4: Simplify right side
406,113,849,523.30x = 125,108,024,869,280,410,501,120 - Step 5: Solve for x
x = 125,108,024,869,280,410,501,120/406,113,849,523.30 - Step 6: Final answer
x = 308,061,458,667.65
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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.