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Finding the Fourth Proportional to 355,884.36, 491,099.40 and 194,707.32

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Solution

The fourth proportional to 355,884.36, 491,099.40 and 194,707.32 is: 268,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,884.36 : 491,099.40 = 194,707.32 : x
  2. Step 2: Convert to fraction form
    355,884.36/491,099.40 = 194,707.32/x
  3. Step 3: Cross multiply
    355,884.36x = 491,099.40 × 194,707.32
  4. Step 4: Simplify right side
    355,884.36x = 95,620,648,027.61
  5. Step 5: Solve for x
    x = 95,620,648,027.61/355,884.36
  6. Step 6: Final answer
    x = 268,684.60

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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.