Finding the Fourth Proportional to 772,142,152,921.92, 1,158,473,880,265 and 341,819,878,824
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Solution
The fourth proportional to 772,142,152,921.92, 1,158,473,880,265 and 341,819,878,824 is: 512,845,205,865.86
Step by Step Solution
- Step 1: Write the proportion equation
772,142,152,921.92 : 1,158,473,880,265 = 341,819,878,824 : x - Step 2: Convert to fraction form
772,142,152,921.92/1,158,473,880,265 = 341,819,878,824/x - Step 3: Cross multiply
772,142,152,921.92x = 1,158,473,880,265 × 341,819,878,824 - Step 4: Simplify right side
772,142,152,921.92x = 395,989,401,372,951,385,735,168 - Step 5: Solve for x
x = 395,989,401,372,951,385,735,168/772,142,152,921.92 - Step 6: Final answer
x = 512,845,205,865.86
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.