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Finding the Fourth Proportional to 307,220.72, 461,040.05 and 188,529.80

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Solution

The fourth proportional to 307,220.72, 461,040.05 and 188,529.80 is: 282,922.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,220.72 : 461,040.05 = 188,529.80 : x
  2. Step 2: Convert to fraction form
    307,220.72/461,040.05 = 188,529.80/x
  3. Step 3: Cross multiply
    307,220.72x = 461,040.05 × 188,529.80
  4. Step 4: Simplify right side
    307,220.72x = 86,919,786,584.61
  5. Step 5: Solve for x
    x = 86,919,786,584.61/307,220.72
  6. Step 6: Final answer
    x = 282,922.94

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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.