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Finding the Fourth Proportional to 355,714.54, 491,142.79 and 219,934.64

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Solution

The fourth proportional to 355,714.54, 491,142.79 and 219,934.64 is: 303,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,714.54 : 491,142.79 = 219,934.64 : x
  2. Step 2: Convert to fraction form
    355,714.54/491,142.79 = 219,934.64/x
  3. Step 3: Cross multiply
    355,714.54x = 491,142.79 × 219,934.64
  4. Step 4: Simplify right side
    355,714.54x = 108,019,314,210.02
  5. Step 5: Solve for x
    x = 108,019,314,210.02/355,714.54
  6. Step 6: Final answer
    x = 303,668.54

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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.