Finding the Fourth Proportional to 511,569,919.20, 705,923,840.16 and 288,539,309.28
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Solution
The fourth proportional to 511,569,919.20, 705,923,840.16 and 288,539,309.28 is: 398,160,191.99
Step by Step Solution
- Step 1: Write the proportion equation
511,569,919.20 : 705,923,840.16 = 288,539,309.28 : x - Step 2: Convert to fraction form
511,569,919.20/705,923,840.16 = 288,539,309.28/x - Step 3: Cross multiply
511,569,919.20x = 705,923,840.16 × 288,539,309.28 - Step 4: Simplify right side
511,569,919.20x = 203,686,777,244,051,488 - Step 5: Solve for x
x = 203,686,777,244,051,488/511,569,919.20 - Step 6: Final answer
x = 398,160,191.99
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.