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Finding the Fourth Proportional to 381,171, 571,756.50 and 261,109.56

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Solution

The fourth proportional to 381,171, 571,756.50 and 261,109.56 is: 391,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,171 : 571,756.50 = 261,109.56 : x
  2. Step 2: Convert to fraction form
    381,171/571,756.50 = 261,109.56/x
  3. Step 3: Cross multiply
    381,171x = 571,756.50 × 261,109.56
  4. Step 4: Simplify right side
    381,171x = 149,291,088,142.14
  5. Step 5: Solve for x
    x = 149,291,088,142.14/381,171
  6. Step 6: Final answer
    x = 391,664.34

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1.5x scale

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.