Finding the Fourth Proportional to 230,905,814.97, 318,529,215.39 and 142,771,639.53
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Solution
The fourth proportional to 230,905,814.97, 318,529,215.39 and 142,771,639.53 is: 196,950,164.83
Step by Step Solution
- Step 1: Write the proportion equation
230,905,814.97 : 318,529,215.39 = 142,771,639.53 : x - Step 2: Convert to fraction form
230,905,814.97/318,529,215.39 = 142,771,639.53/x - Step 3: Cross multiply
230,905,814.97x = 318,529,215.39 × 142,771,639.53 - Step 4: Simplify right side
230,905,814.97x = 45,476,938,319,434,808 - Step 5: Solve for x
x = 45,476,938,319,434,808/230,905,814.97 - Step 6: Final answer
x = 196,950,164.83
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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.