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Finding the Fourth Proportional to 355,928.64, 491,166.72 and 194,779.68

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Solution

The fourth proportional to 355,928.64, 491,166.72 and 194,779.68 is: 268,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,928.64 : 491,166.72 = 194,779.68 : x
  2. Step 2: Convert to fraction form
    355,928.64/491,166.72 = 194,779.68/x
  3. Step 3: Cross multiply
    355,928.64x = 491,166.72 × 194,779.68
  4. Step 4: Simplify right side
    355,928.64x = 95,669,296,548.25
  5. Step 5: Solve for x
    x = 95,669,296,548.25/355,928.64
  6. Step 6: Final answer
    x = 268,787.86

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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.