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Finding the Fourth Proportional to 381,722.50, 526,798.92 and 211,967.56

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Solution

The fourth proportional to 381,722.50, 526,798.92 and 211,967.56 is: 292,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,722.50 : 526,798.92 = 211,967.56 : x
  2. Step 2: Convert to fraction form
    381,722.50/526,798.92 = 211,967.56/x
  3. Step 3: Cross multiply
    381,722.50x = 526,798.92 × 211,967.56
  4. Step 4: Simplify right side
    381,722.50x = 111,664,281,683.04
  5. Step 5: Solve for x
    x = 111,664,281,683.04/381,722.50
  6. Step 6: Final answer
    x = 292,527.38

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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.