Finding the Fourth Proportional to 306,512,631,246.30, 459,768,946,869.45 and 181,129,968,692.70
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Solution
The fourth proportional to 306,512,631,246.30, 459,768,946,869.45 and 181,129,968,692.70 is: 271,694,953,039.05
Step by Step Solution
- Step 1: Write the proportion equation
306,512,631,246.30 : 459,768,946,869.45 = 181,129,968,692.70 : x - Step 2: Convert to fraction form
306,512,631,246.30/459,768,946,869.45 = 181,129,968,692.70/x - Step 3: Cross multiply
306,512,631,246.30x = 459,768,946,869.45 × 181,129,968,692.70 - Step 4: Simplify right side
306,512,631,246.30x = 83,277,934,952,339,132,645,376 - Step 5: Solve for x
x = 83,277,934,952,339,132,645,376/306,512,631,246.30 - Step 6: Final answer
x = 271,694,953,039.05
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1.5x scale
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.