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Finding the Fourth Proportional to 381,453.24, 526,283.82 and 220,287

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Solution

The fourth proportional to 381,453.24, 526,283.82 and 220,287 is: 303,925.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,453.24 : 526,283.82 = 220,287 : x
  2. Step 2: Convert to fraction form
    381,453.24/526,283.82 = 220,287/x
  3. Step 3: Cross multiply
    381,453.24x = 526,283.82 × 220,287
  4. Step 4: Simplify right side
    381,453.24x = 115,933,483,856.34
  5. Step 5: Solve for x
    x = 115,933,483,856.34/381,453.24
  6. Step 6: Final answer
    x = 303,925.81

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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.