Finding the Fourth Proportional to 298,292.14, 411,643.20 and 164,156.14
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Solution
The fourth proportional to 298,292.14, 411,643.20 and 164,156.14 is: 226,535.50
Step by Step Solution
- Step 1: Write the proportion equation
298,292.14 : 411,643.20 = 164,156.14 : x - Step 2: Convert to fraction form
298,292.14/411,643.20 = 164,156.14/x - Step 3: Cross multiply
298,292.14x = 411,643.20 × 164,156.14 - Step 4: Simplify right side
298,292.14x = 67,573,758,769.25 - Step 5: Solve for x
x = 67,573,758,769.25/298,292.14 - Step 6: Final answer
x = 226,535.50
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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.