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Finding the Fourth Proportional to 431,354.72, 647,008.54 and 131,835.20

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Solution

The fourth proportional to 431,354.72, 647,008.54 and 131,835.20 is: 197,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,354.72 : 647,008.54 = 131,835.20 : x
  2. Step 2: Convert to fraction form
    431,354.72/647,008.54 = 131,835.20/x
  3. Step 3: Cross multiply
    431,354.72x = 647,008.54 × 131,835.20
  4. Step 4: Simplify right side
    431,354.72x = 85,298,500,272.61
  5. Step 5: Solve for x
    x = 85,298,500,272.61/431,354.72
  6. Step 6: Final answer
    x = 197,745.61

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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.