Finding the Fourth Proportional to 413,929.80, 620,408.70 and 409,497.48
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Solution
The fourth proportional to 413,929.80, 620,408.70 and 409,497.48 is: 613,765.42
Step by Step Solution
- Step 1: Write the proportion equation
413,929.80 : 620,408.70 = 409,497.48 : x - Step 2: Convert to fraction form
413,929.80/620,408.70 = 409,497.48/x - Step 3: Cross multiply
413,929.80x = 620,408.70 × 409,497.48 - Step 4: Simplify right side
413,929.80x = 254,055,799,220.08 - Step 5: Solve for x
x = 254,055,799,220.08/413,929.80 - Step 6: Final answer
x = 613,765.42
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.