Finding the Fourth Proportional to 830,454.40, 1,146,138.24 and 467,948.80
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Solution
The fourth proportional to 830,454.40, 1,146,138.24 and 467,948.80 is: 645,831.99
Step by Step Solution
- Step 1: Write the proportion equation
830,454.40 : 1,146,138.24 = 467,948.80 : x - Step 2: Convert to fraction form
830,454.40/1,146,138.24 = 467,948.80/x - Step 3: Cross multiply
830,454.40x = 1,146,138.24 × 467,948.80 - Step 4: Simplify right side
830,454.40x = 536,334,014,042.11 - Step 5: Solve for x
x = 536,334,014,042.11/830,454.40 - Step 6: Final answer
x = 645,831.99
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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.