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Finding the Fourth Proportional to 381,249.63, 571,878.54 and 115,012.45

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Solution

The fourth proportional to 381,249.63, 571,878.54 and 115,012.45 is: 172,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,249.63 : 571,878.54 = 115,012.45 : x
  2. Step 2: Convert to fraction form
    381,249.63/571,878.54 = 115,012.45/x
  3. Step 3: Cross multiply
    381,249.63x = 571,878.54 × 115,012.45
  4. Step 4: Simplify right side
    381,249.63x = 65,773,151,987.82
  5. Step 5: Solve for x
    x = 65,773,151,987.82/381,249.63
  6. Step 6: Final answer
    x = 172,519.91

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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.