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Finding the Fourth Proportional to 431,839.32, 647,603.46 and 182,540.76

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Solution

The fourth proportional to 431,839.32, 647,603.46 and 182,540.76 is: 273,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,839.32 : 647,603.46 = 182,540.76 : x
  2. Step 2: Convert to fraction form
    431,839.32/647,603.46 = 182,540.76/x
  3. Step 3: Cross multiply
    431,839.32x = 647,603.46 × 182,540.76
  4. Step 4: Simplify right side
    431,839.32x = 118,214,027,767.03
  5. Step 5: Solve for x
    x = 118,214,027,767.03/431,839.32
  6. Step 6: Final answer
    x = 273,745.40

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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.