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Finding the Fourth Proportional to 361,199.40, 498,450.13 and 208,237.88

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Solution

The fourth proportional to 361,199.40, 498,450.13 and 208,237.88 is: 287,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,199.40 : 498,450.13 = 208,237.88 : x
  2. Step 2: Convert to fraction form
    361,199.40/498,450.13 = 208,237.88/x
  3. Step 3: Cross multiply
    361,199.40x = 498,450.13 × 208,237.88
  4. Step 4: Simplify right side
    361,199.40x = 103,796,198,356.92
  5. Step 5: Solve for x
    x = 103,796,198,356.92/361,199.40
  6. Step 6: Final answer
    x = 287,365.37

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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.