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Finding the Fourth Proportional to 355,913.02, 491,144.20 and 194,774.86

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Solution

The fourth proportional to 355,913.02, 491,144.20 and 194,774.86 is: 268,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,913.02 : 491,144.20 = 194,774.86 : x
  2. Step 2: Convert to fraction form
    355,913.02/491,144.20 = 194,774.86/x
  3. Step 3: Cross multiply
    355,913.02x = 491,144.20 × 194,774.86
  4. Step 4: Simplify right side
    355,913.02x = 95,662,542,794.81
  5. Step 5: Solve for x
    x = 95,662,542,794.81/355,913.02
  6. Step 6: Final answer
    x = 268,780.68

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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.