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Finding the Fourth Proportional to 638,452.86, 957,470.90 and 211,874.10

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Solution

The fourth proportional to 638,452.86, 957,470.90 and 211,874.10 is: 317,741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,452.86 : 957,470.90 = 211,874.10 : x
  2. Step 2: Convert to fraction form
    638,452.86/957,470.90 = 211,874.10/x
  3. Step 3: Cross multiply
    638,452.86x = 957,470.90 × 211,874.10
  4. Step 4: Simplify right side
    638,452.86x = 202,863,285,213.69
  5. Step 5: Solve for x
    x = 202,863,285,213.69/638,452.86
  6. Step 6: Final answer
    x = 317,741.99

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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.