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Finding the Fourth Proportional to 361,116.51, 498,339.97 and 208,153.68

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Solution

The fourth proportional to 361,116.51, 498,339.97 and 208,153.68 is: 287,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,116.51 : 498,339.97 = 208,153.68 : x
  2. Step 2: Convert to fraction form
    361,116.51/498,339.97 = 208,153.68/x
  3. Step 3: Cross multiply
    361,116.51x = 498,339.97 × 208,153.68
  4. Step 4: Simplify right side
    361,116.51x = 103,731,297,605.82
  5. Step 5: Solve for x
    x = 103,731,297,605.82/361,116.51
  6. Step 6: Final answer
    x = 287,251.61

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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.