Finding the Fourth Proportional to 420,616,678.10, 630,361,042.49 and 327,356,256.06
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Solution
The fourth proportional to 420,616,678.10, 630,361,042.49 and 327,356,256.06 is: 490,595,455.63
Step by Step Solution
- Step 1: Write the proportion equation
420,616,678.10 : 630,361,042.49 = 327,356,256.06 : x - Step 2: Convert to fraction form
420,616,678.10/630,361,042.49 = 327,356,256.06/x - Step 3: Cross multiply
420,616,678.10x = 630,361,042.49 × 327,356,256.06 - Step 4: Simplify right side
420,616,678.10x = 206,352,630,836,423,360 - Step 5: Solve for x
x = 206,352,630,836,423,360/420,616,678.10 - Step 6: Final answer
x = 490,595,455.63
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.