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Finding the Fourth Proportional to 381,057.92, 525,863.04 and 211,294.88

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Solution

The fourth proportional to 381,057.92, 525,863.04 and 211,294.88 is: 291,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,057.92 : 525,863.04 = 211,294.88 : x
  2. Step 2: Convert to fraction form
    381,057.92/525,863.04 = 211,294.88/x
  3. Step 3: Cross multiply
    381,057.92x = 525,863.04 × 211,294.88
  4. Step 4: Simplify right side
    381,057.92x = 111,112,167,933.24
  5. Step 5: Solve for x
    x = 111,112,167,933.24/381,057.92
  6. Step 6: Final answer
    x = 291,588.66

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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.