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Finding the Fourth Proportional to 361,735.98, 499,171.23 and 208,780.62

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Solution

The fourth proportional to 361,735.98, 499,171.23 and 208,780.62 is: 288,103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,735.98 : 499,171.23 = 208,780.62 : x
  2. Step 2: Convert to fraction form
    361,735.98/499,171.23 = 208,780.62/x
  3. Step 3: Cross multiply
    361,735.98x = 499,171.23 × 208,780.62
  4. Step 4: Simplify right side
    361,735.98x = 104,217,278,885.56
  5. Step 5: Solve for x
    x = 104,217,278,885.56/361,735.98
  6. Step 6: Final answer
    x = 288,103.16

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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.