Finding the Fourth Proportional to 405,455,119,125.05, 559,528,618,474.20 and 220,056,830,951.72
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Solution
The fourth proportional to 405,455,119,125.05, 559,528,618,474.20 and 220,056,830,951.72 is: 303,678,727,435.80
Step by Step Solution
- Step 1: Write the proportion equation
405,455,119,125.05 : 559,528,618,474.20 = 220,056,830,951.72 : x - Step 2: Convert to fraction form
405,455,119,125.05/559,528,618,474.20 = 220,056,830,951.72/x - Step 3: Cross multiply
405,455,119,125.05x = 559,528,618,474.20 × 220,056,830,951.72 - Step 4: Simplify right side
405,455,119,125.05x = 123,128,094,608,226,462,466,048 - Step 5: Solve for x
x = 123,128,094,608,226,462,466,048/405,455,119,125.05 - Step 6: Final answer
x = 303,678,727,435.80
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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.