Finding the Fourth Proportional to 230,905,813.60, 318,529,213.92 and 142,771,638.24
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Solution
The fourth proportional to 230,905,813.60, 318,529,213.92 and 142,771,638.24 is: 196,950,163.31
Step by Step Solution
- Step 1: Write the proportion equation
230,905,813.60 : 318,529,213.92 = 142,771,638.24 : x - Step 2: Convert to fraction form
230,905,813.60/318,529,213.92 = 142,771,638.24/x - Step 3: Cross multiply
230,905,813.60x = 318,529,213.92 × 142,771,638.24 - Step 4: Simplify right side
230,905,813.60x = 45,476,937,698,657,816 - Step 5: Solve for x
x = 45,476,937,698,657,816/230,905,813.60 - Step 6: Final answer
x = 196,950,163.31
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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.