Finding the Fourth Proportional to 211,827,815.84, 292,314,930.10 and 116,457,630.21
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Solution
The fourth proportional to 211,827,815.84, 292,314,930.10 and 116,457,630.21 is: 160,707,430.70
Step by Step Solution
- Step 1: Write the proportion equation
211,827,815.84 : 292,314,930.10 = 116,457,630.21 : x - Step 2: Convert to fraction form
211,827,815.84/292,314,930.10 = 116,457,630.21/x - Step 3: Cross multiply
211,827,815.84x = 292,314,930.10 × 116,457,630.21 - Step 4: Simplify right side
211,827,815.84x = 34,042,304,033,826,700 - Step 5: Solve for x
x = 34,042,304,033,826,700/211,827,815.84 - Step 6: Final answer
x = 160,707,430.70
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1.5x scale
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.