Finding the Fourth Proportional to 409,394.97, 565,006.62 and 228,136.41
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Solution
The fourth proportional to 409,394.97, 565,006.62 and 228,136.41 is: 314,851.41
Step by Step Solution
- Step 1: Write the proportion equation
409,394.97 : 565,006.62 = 228,136.41 : x - Step 2: Convert to fraction form
409,394.97/565,006.62 = 228,136.41/x - Step 3: Cross multiply
409,394.97x = 565,006.62 × 228,136.41 - Step 4: Simplify right side
409,394.97x = 128,898,581,913.03 - Step 5: Solve for x
x = 128,898,581,913.03/409,394.97 - Step 6: Final answer
x = 314,851.41
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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.