Finding the Fourth Proportional to 778,128.84, 1,073,817.80 and 420,432.84
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Solution
The fourth proportional to 778,128.84, 1,073,817.80 and 420,432.84 is: 580,197.32
Step by Step Solution
- Step 1: Write the proportion equation
778,128.84 : 1,073,817.80 = 420,432.84 : x - Step 2: Convert to fraction form
778,128.84/1,073,817.80 = 420,432.84/x - Step 3: Cross multiply
778,128.84x = 1,073,817.80 × 420,432.84 - Step 4: Simplify right side
778,128.84x = 451,468,267,296.55 - Step 5: Solve for x
x = 451,468,267,296.55/778,128.84 - Step 6: Final answer
x = 580,197.32
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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.