Finding the Fourth Proportional to 1,428,471.05, 1,970,982.11 and 824,509.13
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Solution
The fourth proportional to 1,428,471.05, 1,970,982.11 and 824,509.13 is: 1,137,644.86
Step by Step Solution
- Step 1: Write the proportion equation
1,428,471.05 : 1,970,982.11 = 824,509.13 : x - Step 2: Convert to fraction form
1,428,471.05/1,970,982.11 = 824,509.13/x - Step 3: Cross multiply
1,428,471.05x = 1,970,982.11 × 824,509.13 - Step 4: Simplify right side
1,428,471.05x = 1,625,092,736,968.03 - Step 5: Solve for x
x = 1,625,092,736,968.03/1,428,471.05 - Step 6: Final answer
x = 1,137,644.86
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.