Finding the Fourth Proportional to 310,230,182.16, 465,224,201.73 and 135,406,686.60
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Solution
The fourth proportional to 310,230,182.16, 465,224,201.73 and 135,406,686.60 is: 203,057,185.62
Step by Step Solution
- Step 1: Write the proportion equation
310,230,182.16 : 465,224,201.73 = 135,406,686.60 : x - Step 2: Convert to fraction form
310,230,182.16/465,224,201.73 = 135,406,686.60/x - Step 3: Cross multiply
310,230,182.16x = 465,224,201.73 × 135,406,686.60 - Step 4: Simplify right side
310,230,182.16x = 62,994,467,682,389,288 - Step 5: Solve for x
x = 62,994,467,682,389,288/310,230,182.16 - Step 6: Final answer
x = 203,057,185.62
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.