Finding the Fourth Proportional to 1,432,643,115.05, 2,149,403,242.63 and 733,630,178.31
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Solution
The fourth proportional to 1,432,643,115.05, 2,149,403,242.63 and 733,630,178.31 is: 1,100,669,851.12
Step by Step Solution
- Step 1: Write the proportion equation
1,432,643,115.05 : 2,149,403,242.63 = 733,630,178.31 : x - Step 2: Convert to fraction form
1,432,643,115.05/2,149,403,242.63 = 733,630,178.31/x - Step 3: Cross multiply
1,432,643,115.05x = 2,149,403,242.63 × 733,630,178.31 - Step 4: Simplify right side
1,432,643,115.05x = 1,576,867,084,150,738,944 - Step 5: Solve for x
x = 1,576,867,084,150,738,944/1,432,643,115.05 - Step 6: Final answer
x = 1,100,669,851.12
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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.