Finding the Fourth Proportional to 294,495,221.98, 406,400,094.93 and 160,530,202.54
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Solution
The fourth proportional to 294,495,221.98, 406,400,094.93 and 160,530,202.54 is: 221,529,874.45
Step by Step Solution
- Step 1: Write the proportion equation
294,495,221.98 : 406,400,094.93 = 160,530,202.54 : x - Step 2: Convert to fraction form
294,495,221.98/406,400,094.93 = 160,530,202.54/x - Step 3: Cross multiply
294,495,221.98x = 406,400,094.93 × 160,530,202.54 - Step 4: Simplify right side
294,495,221.98x = 65,239,489,551,388,128 - Step 5: Solve for x
x = 65,239,489,551,388,128/294,495,221.98 - Step 6: Final answer
x = 221,529,874.45
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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.