Finding the Fourth Proportional to 1,083,357,008.05, 1,624,523,246.21 and 419,681,875.09
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Solution
The fourth proportional to 1,083,357,008.05, 1,624,523,246.21 and 419,681,875.09 is: 629,324,365.87
Step by Step Solution
- Step 1: Write the proportion equation
1,083,357,008.05 : 1,624,523,246.21 = 419,681,875.09 : x - Step 2: Convert to fraction form
1,083,357,008.05/1,624,523,246.21 = 419,681,875.09/x - Step 3: Cross multiply
1,083,357,008.05x = 1,624,523,246.21 × 419,681,875.09 - Step 4: Simplify right side
1,083,357,008.05x = 681,782,962,096,706,560 - Step 5: Solve for x
x = 681,782,962,096,706,560/1,083,357,008.05 - Step 6: Final answer
x = 629,324,365.87
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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.