Finding the Fourth Proportional to 1,407,970.68, 1,943,014.50 and 827,218.14
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Solution
The fourth proportional to 1,407,970.68, 1,943,014.50 and 827,218.14 is: 1,141,569.82
Step by Step Solution
- Step 1: Write the proportion equation
1,407,970.68 : 1,943,014.50 = 827,218.14 : x - Step 2: Convert to fraction form
1,407,970.68/1,943,014.50 = 827,218.14/x - Step 3: Cross multiply
1,407,970.68x = 1,943,014.50 × 827,218.14 - Step 4: Simplify right side
1,407,970.68x = 1,607,296,840,683.03 - Step 5: Solve for x
x = 1,607,296,840,683.03/1,407,970.68 - Step 6: Final answer
x = 1,141,569.82
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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.