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Finding the Fourth Proportional to 381,068.28, 525,861.72 and 211,314.96

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Solution

The fourth proportional to 381,068.28, 525,861.72 and 211,314.96 is: 291,607.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,068.28 : 525,861.72 = 211,314.96 : x
  2. Step 2: Convert to fraction form
    381,068.28/525,861.72 = 211,314.96/x
  3. Step 3: Cross multiply
    381,068.28x = 525,861.72 × 211,314.96
  4. Step 4: Simplify right side
    381,068.28x = 111,122,448,327.33
  5. Step 5: Solve for x
    x = 111,122,448,327.33/381,068.28
  6. Step 6: Final answer
    x = 291,607.71

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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.