Finding the Fourth Proportional to 665,023,711.20, 997,535,566.80 and 420,135,698.40
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Solution
The fourth proportional to 665,023,711.20, 997,535,566.80 and 420,135,698.40 is: 630,203,547.60
Step by Step Solution
- Step 1: Write the proportion equation
665,023,711.20 : 997,535,566.80 = 420,135,698.40 : x - Step 2: Convert to fraction form
665,023,711.20/997,535,566.80 = 420,135,698.40/x - Step 3: Cross multiply
665,023,711.20x = 997,535,566.80 × 420,135,698.40 - Step 4: Simplify right side
665,023,711.20x = 419,100,302,036,357,824 - Step 5: Solve for x
x = 419,100,302,036,357,824/665,023,711.20 - Step 6: Final answer
x = 630,203,547.60
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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.