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Finding the Fourth Proportional to 381,122.56, 525,911.20 and 220,029.60

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Solution

The fourth proportional to 381,122.56, 525,911.20 and 220,029.60 is: 303,618.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,122.56 : 525,911.20 = 220,029.60 : x
  2. Step 2: Convert to fraction form
    381,122.56/525,911.20 = 220,029.60/x
  3. Step 3: Cross multiply
    381,122.56x = 525,911.20 × 220,029.60
  4. Step 4: Simplify right side
    381,122.56x = 115,716,030,971.52
  5. Step 5: Solve for x
    x = 115,716,030,971.52/381,122.56
  6. Step 6: Final answer
    x = 303,618.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.