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Finding the Fourth Proportional to 355,984.32, 491,255.64 and 194,836.08

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Solution

The fourth proportional to 355,984.32, 491,255.64 and 194,836.08 is: 268,872.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,984.32 : 491,255.64 = 194,836.08 : x
  2. Step 2: Convert to fraction form
    355,984.32/491,255.64 = 194,836.08/x
  3. Step 3: Cross multiply
    355,984.32x = 491,255.64 × 194,836.08
  4. Step 4: Simplify right side
    355,984.32x = 95,714,323,175.49
  5. Step 5: Solve for x
    x = 95,714,323,175.49/355,984.32
  6. Step 6: Final answer
    x = 268,872.30

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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.