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Finding the Fourth Proportional to 361,003, 498,220.96 and 208,046.64

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Solution

The fourth proportional to 361,003, 498,220.96 and 208,046.64 is: 287,125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,003 : 498,220.96 = 208,046.64 : x
  2. Step 2: Convert to fraction form
    361,003/498,220.96 = 208,046.64/x
  3. Step 3: Cross multiply
    361,003x = 498,220.96 × 208,046.64
  4. Step 4: Simplify right side
    361,003x = 103,653,196,705.57
  5. Step 5: Solve for x
    x = 103,653,196,705.57/361,003
  6. Step 6: Final answer
    x = 287,125.58

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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.