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Finding the Fourth Proportional to 397,410.30, 596,115.45 and 131,211.90

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Solution

The fourth proportional to 397,410.30, 596,115.45 and 131,211.90 is: 196,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,410.30 : 596,115.45 = 131,211.90 : x
  2. Step 2: Convert to fraction form
    397,410.30/596,115.45 = 131,211.90/x
  3. Step 3: Cross multiply
    397,410.30x = 596,115.45 × 131,211.90
  4. Step 4: Simplify right side
    397,410.30x = 78,217,440,813.86
  5. Step 5: Solve for x
    x = 78,217,440,813.86/397,410.30
  6. Step 6: Final answer
    x = 196,817.85

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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.