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Finding the Fourth Proportional to 381,424.53, 526,390.44 and 211,658.64

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Solution

The fourth proportional to 381,424.53, 526,390.44 and 211,658.64 is: 292,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,424.53 : 526,390.44 = 211,658.64 : x
  2. Step 2: Convert to fraction form
    381,424.53/526,390.44 = 211,658.64/x
  3. Step 3: Cross multiply
    381,424.53x = 526,390.44 × 211,658.64
  4. Step 4: Simplify right side
    381,424.53x = 111,415,084,639.40
  5. Step 5: Solve for x
    x = 111,415,084,639.40/381,424.53
  6. Step 6: Final answer
    x = 292,102.57

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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.