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Finding the Fourth Proportional to 307,819.20, 461,728.80 and 208,027.20

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Solution

The fourth proportional to 307,819.20, 461,728.80 and 208,027.20 is: 312,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,819.20 : 461,728.80 = 208,027.20 : x
  2. Step 2: Convert to fraction form
    307,819.20/461,728.80 = 208,027.20/x
  3. Step 3: Cross multiply
    307,819.20x = 461,728.80 × 208,027.20
  4. Step 4: Simplify right side
    307,819.20x = 96,052,149,423.36
  5. Step 5: Solve for x
    x = 96,052,149,423.36/307,819.20
  6. Step 6: Final answer
    x = 312,040.80

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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.