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Finding the Fourth Proportional to 381,683.36, 526,739.49 and 211,917.50

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Solution

The fourth proportional to 381,683.36, 526,739.49 and 211,917.50 is: 292,455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,683.36 : 526,739.49 = 211,917.50 : x
  2. Step 2: Convert to fraction form
    381,683.36/526,739.49 = 211,917.50/x
  3. Step 3: Cross multiply
    381,683.36x = 526,739.49 × 211,917.50
  4. Step 4: Simplify right side
    381,683.36x = 111,625,315,872.08
  5. Step 5: Solve for x
    x = 111,625,315,872.08/381,683.36
  6. Step 6: Final answer
    x = 292,455.29

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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.