Finding the Fourth Proportional to 742,702.84, 1,024,932.99 and 420,475.12
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Solution
The fourth proportional to 742,702.84, 1,024,932.99 and 420,475.12 is: 580,257.40
Step by Step Solution
- Step 1: Write the proportion equation
742,702.84 : 1,024,932.99 = 420,475.12 : x - Step 2: Convert to fraction form
742,702.84/1,024,932.99 = 420,475.12/x - Step 3: Cross multiply
742,702.84x = 1,024,932.99 × 420,475.12 - Step 4: Simplify right side
742,702.84x = 430,958,820,976.66 - Step 5: Solve for x
x = 430,958,820,976.66/742,702.84 - Step 6: Final answer
x = 580,257.40
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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.