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Finding the Fourth Proportional to 381,080.78, 525,891.49 and 211,314.91

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Solution

The fourth proportional to 381,080.78, 525,891.49 and 211,314.91 is: 291,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,080.78 : 525,891.49 = 211,314.91 : x
  2. Step 2: Convert to fraction form
    381,080.78/525,891.49 = 211,314.91/x
  3. Step 3: Cross multiply
    381,080.78x = 525,891.49 × 211,314.91
  4. Step 4: Simplify right side
    381,080.78x = 111,128,712,022.15
  5. Step 5: Solve for x
    x = 111,128,712,022.15/381,080.78
  6. Step 6: Final answer
    x = 291,614.58

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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.