Finding the Fourth Proportional to 257,714,625,981.42, 355,657,206,683.76 and 143,529,228,664.65
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Solution
The fourth proportional to 257,714,625,981.42, 355,657,206,683.76 and 143,529,228,664.65 is: 198,076,474,511.09
Step by Step Solution
- Step 1: Write the proportion equation
257,714,625,981.42 : 355,657,206,683.76 = 143,529,228,664.65 : x - Step 2: Convert to fraction form
257,714,625,981.42/355,657,206,683.76 = 143,529,228,664.65/x - Step 3: Cross multiply
257,714,625,981.42x = 355,657,206,683.76 × 143,529,228,664.65 - Step 4: Simplify right side
257,714,625,981.42x = 51,047,204,544,344,072,650,752 - Step 5: Solve for x
x = 51,047,204,544,344,072,650,752/257,714,625,981.42 - Step 6: Final answer
x = 198,076,474,511.09
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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.