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Finding the Fourth Proportional to 356,321.64, 533,738.78 and 213,714.66

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Solution

The fourth proportional to 356,321.64, 533,738.78 and 213,714.66 is: 320,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,321.64 : 533,738.78 = 213,714.66 : x
  2. Step 2: Convert to fraction form
    356,321.64/533,738.78 = 213,714.66/x
  3. Step 3: Cross multiply
    356,321.64x = 533,738.78 × 213,714.66
  4. Step 4: Simplify right side
    356,321.64x = 114,067,801,896.52
  5. Step 5: Solve for x
    x = 114,067,801,896.52/356,321.64
  6. Step 6: Final answer
    x = 320,125.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.