Finding the Fourth Proportional to 400,894,368,515.40, 553,237,106,545.44 and 217,990,159,512.21
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Solution
The fourth proportional to 400,894,368,515.40, 553,237,106,545.44 and 217,990,159,512.21 is: 300,827,985,063.80
Step by Step Solution
- Step 1: Write the proportion equation
400,894,368,515.40 : 553,237,106,545.44 = 217,990,159,512.21 : x - Step 2: Convert to fraction form
400,894,368,515.40/553,237,106,545.44 = 217,990,159,512.21/x - Step 3: Cross multiply
400,894,368,515.40x = 553,237,106,545.44 × 217,990,159,512.21 - Step 4: Simplify right side
400,894,368,515.40x = 120,600,245,103,913,959,686,144 - Step 5: Solve for x
x = 120,600,245,103,913,959,686,144/400,894,368,515.40 - Step 6: Final answer
x = 300,827,985,063.80
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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.