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Finding the Fourth Proportional to 1,306,630, 1,959,945 and 420,166

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Solution

The fourth proportional to 1,306,630, 1,959,945 and 420,166 is: 630,249

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,630 : 1,959,945 = 420,166 : x
  2. Step 2: Convert to fraction form
    1,306,630/1,959,945 = 420,166/x
  3. Step 3: Cross multiply
    1,306,630x = 1,959,945 × 420,166
  4. Step 4: Simplify right side
    1,306,630x = 823,502,250,870
  5. Step 5: Solve for x
    x = 823,502,250,870/1,306,630
  6. Step 6: Final answer
    x = 630,249

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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.