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Finding the Fourth Proportional to 431,431.04, 647,148 and 131,910.48

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Solution

The fourth proportional to 431,431.04, 647,148 and 131,910.48 is: 197,866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,431.04 : 647,148 = 131,910.48 : x
  2. Step 2: Convert to fraction form
    431,431.04/647,148 = 131,910.48/x
  3. Step 3: Cross multiply
    431,431.04x = 647,148 × 131,910.48
  4. Step 4: Simplify right side
    431,431.04x = 85,365,603,311.04
  5. Step 5: Solve for x
    x = 85,365,603,311.04/431,431.04
  6. Step 6: Final answer
    x = 197,866.16

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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.