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Finding the Fourth Proportional to 381,271.14, 526,217.24 and 211,559.94

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Solution

The fourth proportional to 381,271.14, 526,217.24 and 211,559.94 is: 291,987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,271.14 : 526,217.24 = 211,559.94 : x
  2. Step 2: Convert to fraction form
    381,271.14/526,217.24 = 211,559.94/x
  3. Step 3: Cross multiply
    381,271.14x = 526,217.24 × 211,559.94
  4. Step 4: Simplify right side
    381,271.14x = 111,326,487,721.37
  5. Step 5: Solve for x
    x = 111,326,487,721.37/381,271.14
  6. Step 6: Final answer
    x = 291,987.71

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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.