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Finding the Fourth Proportional to 431,874.64, 647,811.96 and 221,378.32

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Solution

The fourth proportional to 431,874.64, 647,811.96 and 221,378.32 is: 332,067.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,874.64 : 647,811.96 = 221,378.32 : x
  2. Step 2: Convert to fraction form
    431,874.64/647,811.96 = 221,378.32/x
  3. Step 3: Cross multiply
    431,874.64x = 647,811.96 × 221,378.32
  4. Step 4: Simplify right side
    431,874.64x = 143,411,523,380.71
  5. Step 5: Solve for x
    x = 143,411,523,380.71/431,874.64
  6. Step 6: Final answer
    x = 332,067.48

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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.