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Finding the Fourth Proportional to 307,586.40, 461,379.60 and 188,872.80

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Solution

The fourth proportional to 307,586.40, 461,379.60 and 188,872.80 is: 283,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,586.40 : 461,379.60 = 188,872.80 : x
  2. Step 2: Convert to fraction form
    307,586.40/461,379.60 = 188,872.80/x
  3. Step 3: Cross multiply
    307,586.40x = 461,379.60 × 188,872.80
  4. Step 4: Simplify right side
    307,586.40x = 87,142,056,914.88
  5. Step 5: Solve for x
    x = 87,142,056,914.88/307,586.40
  6. Step 6: Final answer
    x = 283,309.20

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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.