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Finding the Fourth Proportional to 361,229.88, 498,502.38 and 208,265.04

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Solution

The fourth proportional to 361,229.88, 498,502.38 and 208,265.04 is: 287,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,229.88 : 498,502.38 = 208,265.04 : x
  2. Step 2: Convert to fraction form
    361,229.88/498,502.38 = 208,265.04/x
  3. Step 3: Cross multiply
    361,229.88x = 498,502.38 × 208,265.04
  4. Step 4: Simplify right side
    361,229.88x = 103,820,618,110.80
  5. Step 5: Solve for x
    x = 103,820,618,110.80/361,229.88
  6. Step 6: Final answer
    x = 287,408.72

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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.