Finding the Fourth Proportional to 420,110,107.20, 630,165,160.80 and 378,498,276.90
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Solution
The fourth proportional to 420,110,107.20, 630,165,160.80 and 378,498,276.90 is: 567,747,415.35
Step by Step Solution
- Step 1: Write the proportion equation
420,110,107.20 : 630,165,160.80 = 378,498,276.90 : x - Step 2: Convert to fraction form
420,110,107.20/630,165,160.80 = 378,498,276.90/x - Step 3: Cross multiply
420,110,107.20x = 630,165,160.80 × 378,498,276.90 - Step 4: Simplify right side
420,110,107.20x = 238,516,427,525,211,392 - Step 5: Solve for x
x = 238,516,427,525,211,392/420,110,107.20 - Step 6: Final answer
x = 567,747,415.35
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.