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Finding the Fourth Proportional to 381,603.96, 526,611.24 and 211,837.68

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Solution

The fourth proportional to 381,603.96, 526,611.24 and 211,837.68 is: 292,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,603.96 : 526,611.24 = 211,837.68 : x
  2. Step 2: Convert to fraction form
    381,603.96/526,611.24 = 211,837.68/x
  3. Step 3: Cross multiply
    381,603.96x = 526,611.24 × 211,837.68
  4. Step 4: Simplify right side
    381,603.96x = 111,556,103,343.52
  5. Step 5: Solve for x
    x = 111,556,103,343.52/381,603.96
  6. Step 6: Final answer
    x = 292,334.76

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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.