Finding the Fourth Proportional to 314,076,830.40, 471,115,245.60 and 176,327,323.20
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Solution
The fourth proportional to 314,076,830.40, 471,115,245.60 and 176,327,323.20 is: 264,490,984.80
Step by Step Solution
- Step 1: Write the proportion equation
314,076,830.40 : 471,115,245.60 = 176,327,323.20 : x - Step 2: Convert to fraction form
314,076,830.40/471,115,245.60 = 176,327,323.20/x - Step 3: Cross multiply
314,076,830.40x = 471,115,245.60 × 176,327,323.20 - Step 4: Simplify right side
314,076,830.40x = 83,070,490,175,358,576 - Step 5: Solve for x
x = 83,070,490,175,358,576/314,076,830.40 - Step 6: Final answer
x = 264,490,984.80
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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.