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Finding the Fourth Proportional to 307,469.20, 461,290.20 and 149,702.80

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Solution

The fourth proportional to 307,469.20, 461,290.20 and 149,702.80 is: 224,596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,469.20 : 461,290.20 = 149,702.80 : x
  2. Step 2: Convert to fraction form
    307,469.20/461,290.20 = 149,702.80/x
  3. Step 3: Cross multiply
    307,469.20x = 461,290.20 × 149,702.80
  4. Step 4: Simplify right side
    307,469.20x = 69,056,434,552.56
  5. Step 5: Solve for x
    x = 69,056,434,552.56/307,469.20
  6. Step 6: Final answer
    x = 224,596.27

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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.