Finding the Fourth Proportional to 208,777,794.90, 288,113,547.41 and 114,698,035.05
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Solution
The fourth proportional to 208,777,794.90, 288,113,547.41 and 114,698,035.05 is: 158,283,393.00
Step by Step Solution
- Step 1: Write the proportion equation
208,777,794.90 : 288,113,547.41 = 114,698,035.05 : x - Step 2: Convert to fraction form
208,777,794.90/288,113,547.41 = 114,698,035.05/x - Step 3: Cross multiply
208,777,794.90x = 288,113,547.41 × 114,698,035.05 - Step 4: Simplify right side
208,777,794.90x = 33,046,057,759,212,020 - Step 5: Solve for x
x = 33,046,057,759,212,020/208,777,794.90 - Step 6: Final answer
x = 158,283,393.00
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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.