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Finding the Fourth Proportional to 408,458.80, 613,271.40 and 231,311.80

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Solution

The fourth proportional to 408,458.80, 613,271.40 and 231,311.80 is: 347,297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,458.80 : 613,271.40 = 231,311.80 : x
  2. Step 2: Convert to fraction form
    408,458.80/613,271.40 = 231,311.80/x
  3. Step 3: Cross multiply
    408,458.80x = 613,271.40 × 231,311.80
  4. Step 4: Simplify right side
    408,458.80x = 141,856,911,422.52
  5. Step 5: Solve for x
    x = 141,856,911,422.52/408,458.80
  6. Step 6: Final answer
    x = 347,297.97

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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.