Finding the Fourth Proportional to 419,905,643.20, 629,858,464.80 and 386,649,246.40
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Solution
The fourth proportional to 419,905,643.20, 629,858,464.80 and 386,649,246.40 is: 579,973,869.60
Step by Step Solution
- Step 1: Write the proportion equation
419,905,643.20 : 629,858,464.80 = 386,649,246.40 : x - Step 2: Convert to fraction form
419,905,643.20/629,858,464.80 = 386,649,246.40/x - Step 3: Cross multiply
419,905,643.20x = 629,858,464.80 × 386,649,246.40 - Step 4: Simplify right side
419,905,643.20x = 243,534,300,753,580,896 - Step 5: Solve for x
x = 243,534,300,753,580,896/419,905,643.20 - Step 6: Final answer
x = 579,973,869.60
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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.