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Finding the Fourth Proportional to 381,668.36, 526,718.79 and 211,902.50

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Solution

The fourth proportional to 381,668.36, 526,718.79 and 211,902.50 is: 292,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,668.36 : 526,718.79 = 211,902.50 : x
  2. Step 2: Convert to fraction form
    381,668.36/526,718.79 = 211,902.50/x
  3. Step 3: Cross multiply
    381,668.36x = 526,718.79 × 211,902.50
  4. Step 4: Simplify right side
    381,668.36x = 111,613,028,397.98
  5. Step 5: Solve for x
    x = 111,613,028,397.98/381,668.36
  6. Step 6: Final answer
    x = 292,434.58

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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.