Finding the Fourth Proportional to 199,201,965.40, 298,802,948.10 and 157,590,135.10
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Solution
The fourth proportional to 199,201,965.40, 298,802,948.10 and 157,590,135.10 is: 236,385,202.65
Step by Step Solution
- Step 1: Write the proportion equation
199,201,965.40 : 298,802,948.10 = 157,590,135.10 : x - Step 2: Convert to fraction form
199,201,965.40/298,802,948.10 = 157,590,135.10/x - Step 3: Cross multiply
199,201,965.40x = 298,802,948.10 × 157,590,135.10 - Step 4: Simplify right side
199,201,965.40x = 47,088,396,959,357,288 - Step 5: Solve for x
x = 47,088,396,959,357,288/199,201,965.40 - Step 6: Final answer
x = 236,385,202.65
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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.