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Finding the Fourth Proportional to 1,306,626, 1,959,939 and 420,162

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Solution

The fourth proportional to 1,306,626, 1,959,939 and 420,162 is: 630,243

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,626 : 1,959,939 = 420,162 : x
  2. Step 2: Convert to fraction form
    1,306,626/1,959,939 = 420,162/x
  3. Step 3: Cross multiply
    1,306,626x = 1,959,939 × 420,162
  4. Step 4: Simplify right side
    1,306,626x = 823,491,890,118
  5. Step 5: Solve for x
    x = 823,491,890,118/1,306,626
  6. Step 6: Final answer
    x = 630,243

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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.