Finding the Fourth Proportional to 380,438,034.10, 570,477,160.74 and 147,377,905.09
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Solution
The fourth proportional to 380,438,034.10, 570,477,160.74 and 147,377,905.09 is: 220,997,169.88
Step by Step Solution
- Step 1: Write the proportion equation
380,438,034.10 : 570,477,160.74 = 147,377,905.09 : x - Step 2: Convert to fraction form
380,438,034.10/570,477,160.74 = 147,377,905.09/x - Step 3: Cross multiply
380,438,034.10x = 570,477,160.74 × 147,377,905.09 - Step 4: Simplify right side
380,438,034.10x = 84,075,728,851,552,400 - Step 5: Solve for x
x = 84,075,728,851,552,400/380,438,034.10 - Step 6: Final answer
x = 220,997,169.88
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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.