Finding the Fourth Proportional to 306,056,343,197.16, 422,510,663,209.84 and 190,350,398,110.50
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Solution
The fourth proportional to 306,056,343,197.16, 422,510,663,209.84 and 190,350,398,110.50 is: 262,778,650,845.07
Step by Step Solution
- Step 1: Write the proportion equation
306,056,343,197.16 : 422,510,663,209.84 = 190,350,398,110.50 : x - Step 2: Convert to fraction form
306,056,343,197.16/422,510,663,209.84 = 190,350,398,110.50/x - Step 3: Cross multiply
306,056,343,197.16x = 422,510,663,209.84 × 190,350,398,110.50 - Step 4: Simplify right side
306,056,343,197.16x = 80,425,072,947,924,433,895,424 - Step 5: Solve for x
x = 80,425,072,947,924,433,895,424/306,056,343,197.16 - Step 6: Final answer
x = 262,778,650,845.07
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1.5x scale
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.