Finding the Fourth Proportional to 296,423.08, 409,064.85 and 160,456.99
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Solution
The fourth proportional to 296,423.08, 409,064.85 and 160,456.99 is: 221,431.18
Step by Step Solution
- Step 1: Write the proportion equation
296,423.08 : 409,064.85 = 160,456.99 : x - Step 2: Convert to fraction form
296,423.08/409,064.85 = 160,456.99/x - Step 3: Cross multiply
296,423.08x = 409,064.85 × 160,456.99 - Step 4: Simplify right side
296,423.08x = 65,637,312,921.43 - Step 5: Solve for x
x = 65,637,312,921.43/296,423.08 - Step 6: Final answer
x = 221,431.18
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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.