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Finding the Fourth Proportional to 361,202.90, 498,465.09 and 208,238.04

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Solution

The fourth proportional to 361,202.90, 498,465.09 and 208,238.04 is: 287,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,202.90 : 498,465.09 = 208,238.04 : x
  2. Step 2: Convert to fraction form
    361,202.90/498,465.09 = 208,238.04/x
  3. Step 3: Cross multiply
    361,202.90x = 498,465.09 × 208,238.04
  4. Step 4: Simplify right side
    361,202.90x = 103,799,393,350.02
  5. Step 5: Solve for x
    x = 103,799,393,350.02/361,202.90
  6. Step 6: Final answer
    x = 287,371.43

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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.