Finding the Fourth Proportional to 397,742,439,207.76, 548,884,786,295.10 and 214,839,539,911.42
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Solution
The fourth proportional to 397,742,439,207.76, 548,884,786,295.10 and 214,839,539,911.42 is: 296,478,684,011.94
Step by Step Solution
- Step 1: Write the proportion equation
397,742,439,207.76 : 548,884,786,295.10 = 214,839,539,911.42 : x - Step 2: Convert to fraction form
397,742,439,207.76/548,884,786,295.10 = 214,839,539,911.42/x - Step 3: Cross multiply
397,742,439,207.76x = 548,884,786,295.10 × 214,839,539,911.42 - Step 4: Simplify right side
397,742,439,207.76x = 117,922,154,952,017,372,512,256 - Step 5: Solve for x
x = 117,922,154,952,017,372,512,256/397,742,439,207.76 - Step 6: Final answer
x = 296,478,684,011.94
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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.