Finding the Fourth Proportional to 780,391,616.16, 1,076,841,449.28 and 427,874,843.68
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Solution
The fourth proportional to 780,391,616.16, 1,076,841,449.28 and 427,874,843.68 is: 590,413,014.75
Step by Step Solution
- Step 1: Write the proportion equation
780,391,616.16 : 1,076,841,449.28 = 427,874,843.68 : x - Step 2: Convert to fraction form
780,391,616.16/1,076,841,449.28 = 427,874,843.68/x - Step 3: Cross multiply
780,391,616.16x = 1,076,841,449.28 × 427,874,843.68 - Step 4: Simplify right side
780,391,616.16x = 460,753,366,778,824,640 - Step 5: Solve for x
x = 460,753,366,778,824,640/780,391,616.16 - Step 6: Final answer
x = 590,413,014.75
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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.