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Finding the Fourth Proportional to 360,905.72, 498,160.83 and 208,046.12

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Solution

The fourth proportional to 360,905.72, 498,160.83 and 208,046.12 is: 287,167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,905.72 : 498,160.83 = 208,046.12 : x
  2. Step 2: Convert to fraction form
    360,905.72/498,160.83 = 208,046.12/x
  3. Step 3: Cross multiply
    360,905.72x = 498,160.83 × 208,046.12
  4. Step 4: Simplify right side
    360,905.72x = 103,640,425,326.68
  5. Step 5: Solve for x
    x = 103,640,425,326.68/360,905.72
  6. Step 6: Final answer
    x = 287,167.59

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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.