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Finding the Fourth Proportional to 307,926.40, 461,889.60 and 189,212.80

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Solution

The fourth proportional to 307,926.40, 461,889.60 and 189,212.80 is: 283,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,926.40 : 461,889.60 = 189,212.80 : x
  2. Step 2: Convert to fraction form
    307,926.40/461,889.60 = 189,212.80/x
  3. Step 3: Cross multiply
    307,926.40x = 461,889.60 × 189,212.80
  4. Step 4: Simplify right side
    307,926.40x = 87,395,424,506.88
  5. Step 5: Solve for x
    x = 87,395,424,506.88/307,926.40
  6. Step 6: Final answer
    x = 283,819.20

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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.