Finding the Fourth Proportional to 243,898,459,159.12, 336,588,957,192.21 and 146,255,997,248.75
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Solution
The fourth proportional to 243,898,459,159.12, 336,588,957,192.21 and 146,255,997,248.75 is: 201,838,723,240.75
Step by Step Solution
- Step 1: Write the proportion equation
243,898,459,159.12 : 336,588,957,192.21 = 146,255,997,248.75 : x - Step 2: Convert to fraction form
243,898,459,159.12/336,588,957,192.21 = 146,255,997,248.75/x - Step 3: Cross multiply
243,898,459,159.12x = 336,588,957,192.21 × 146,255,997,248.75 - Step 4: Simplify right side
243,898,459,159.12x = 49,228,153,597,063,497,515,008 - Step 5: Solve for x
x = 49,228,153,597,063,497,515,008/243,898,459,159.12 - Step 6: Final answer
x = 201,838,723,240.75
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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.