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Finding the Fourth Proportional to 381,618.26, 526,606.81 and 211,838.98

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Solution

The fourth proportional to 381,618.26, 526,606.81 and 211,838.98 is: 292,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,618.26 : 526,606.81 = 211,838.98 : x
  2. Step 2: Convert to fraction form
    381,618.26/526,606.81 = 211,838.98/x
  3. Step 3: Cross multiply
    381,618.26x = 526,606.81 × 211,838.98
  4. Step 4: Simplify right side
    381,618.26x = 111,555,849,491.45
  5. Step 5: Solve for x
    x = 111,555,849,491.45/381,618.26
  6. Step 6: Final answer
    x = 292,323.14

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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.