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Finding the Fourth Proportional to 361,284.68, 498,565.50 and 200,137.16

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Solution

The fourth proportional to 361,284.68, 498,565.50 and 200,137.16 is: 276,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,284.68 : 498,565.50 = 200,137.16 : x
  2. Step 2: Convert to fraction form
    361,284.68/498,565.50 = 200,137.16/x
  3. Step 3: Cross multiply
    361,284.68x = 498,565.50 × 200,137.16
  4. Step 4: Simplify right side
    361,284.68x = 99,781,483,243.98
  5. Step 5: Solve for x
    x = 99,781,483,243.98/361,284.68
  6. Step 6: Final answer
    x = 276,185.20

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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.