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Finding the Fourth Proportional to 361,754.58, 498,646.11 and 285,149.46

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Solution

The fourth proportional to 361,754.58, 498,646.11 and 285,149.46 is: 393,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,754.58 : 498,646.11 = 285,149.46 : x
  2. Step 2: Convert to fraction form
    361,754.58/498,646.11 = 285,149.46/x
  3. Step 3: Cross multiply
    361,754.58x = 498,646.11 × 285,149.46
  4. Step 4: Simplify right side
    361,754.58x = 142,188,668,997.60
  5. Step 5: Solve for x
    x = 142,188,668,997.60/361,754.58
  6. Step 6: Final answer
    x = 393,052.85

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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.