Finding the Fourth Proportional to 205,791,502.30, 283,599,798.48 and 202,008,970.99
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Solution
The fourth proportional to 205,791,502.30, 283,599,798.48 and 202,008,970.99 is: 278,387,119.12
Step by Step Solution
- Step 1: Write the proportion equation
205,791,502.30 : 283,599,798.48 = 202,008,970.99 : x - Step 2: Convert to fraction form
205,791,502.30/283,599,798.48 = 202,008,970.99/x - Step 3: Cross multiply
205,791,502.30x = 283,599,798.48 × 202,008,970.99 - Step 4: Simplify right side
205,791,502.30x = 57,289,703,463,916,176 - Step 5: Solve for x
x = 57,289,703,463,916,176/205,791,502.30 - Step 6: Final answer
x = 278,387,119.12
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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.