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Finding the Fourth Proportional to 361,228.38, 498,500.31 and 208,263.54

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Solution

The fourth proportional to 361,228.38, 498,500.31 and 208,263.54 is: 287,406.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,228.38 : 498,500.31 = 208,263.54 : x
  2. Step 2: Convert to fraction form
    361,228.38/498,500.31 = 208,263.54/x
  3. Step 3: Cross multiply
    361,228.38x = 498,500.31 × 208,263.54
  4. Step 4: Simplify right side
    361,228.38x = 103,819,439,251.70
  5. Step 5: Solve for x
    x = 103,819,439,251.70/361,228.38
  6. Step 6: Final answer
    x = 287,406.65

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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.