Finding the Fourth Proportional to 728,278.24, 1,005,024.08 and 405,981.40
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Solution
The fourth proportional to 728,278.24, 1,005,024.08 and 405,981.40 is: 560,254.39
Step by Step Solution
- Step 1: Write the proportion equation
728,278.24 : 1,005,024.08 = 405,981.40 : x - Step 2: Convert to fraction form
728,278.24/1,005,024.08 = 405,981.40/x - Step 3: Cross multiply
728,278.24x = 1,005,024.08 × 405,981.40 - Step 4: Simplify right side
728,278.24x = 408,021,083,032.11 - Step 5: Solve for x
x = 408,021,083,032.11/728,278.24 - Step 6: Final answer
x = 560,254.39
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1.5x scale
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.