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Finding the Fourth Proportional to 381,027, 571,668.48 and 267,293.28

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Solution

The fourth proportional to 381,027, 571,668.48 and 267,293.28 is: 401,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,027 : 571,668.48 = 267,293.28 : x
  2. Step 2: Convert to fraction form
    381,027/571,668.48 = 267,293.28/x
  3. Step 3: Cross multiply
    381,027x = 571,668.48 × 267,293.28
  4. Step 4: Simplify right side
    381,027x = 152,803,143,091.81
  5. Step 5: Solve for x
    x = 152,803,143,091.81/381,027
  6. Step 6: Final answer
    x = 401,029.70

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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.