Finding the Fourth Proportional to 340,079,207,385.53, 469,306,517,152.79 and 185,754,985,314.80
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Solution
The fourth proportional to 340,079,207,385.53, 469,306,517,152.79 and 185,754,985,314.80 is: 256,340,356,330.66
Step by Step Solution
- Step 1: Write the proportion equation
340,079,207,385.53 : 469,306,517,152.79 = 185,754,985,314.80 : x - Step 2: Convert to fraction form
340,079,207,385.53/469,306,517,152.79 = 185,754,985,314.80/x - Step 3: Cross multiply
340,079,207,385.53x = 469,306,517,152.79 × 185,754,985,314.80 - Step 4: Simplify right side
340,079,207,385.53x = 87,176,025,201,856,424,706,048 - Step 5: Solve for x
x = 87,176,025,201,856,424,706,048/340,079,207,385.53 - Step 6: Final answer
x = 256,340,356,330.66
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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.