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Finding the Fourth Proportional to 361,300, 498,593.04 and 200,155.36

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Solution

The fourth proportional to 361,300, 498,593.04 and 200,155.36 is: 276,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,300 : 498,593.04 = 200,155.36 : x
  2. Step 2: Convert to fraction form
    361,300/498,593.04 = 200,155.36/x
  3. Step 3: Cross multiply
    361,300x = 498,593.04 × 200,155.36
  4. Step 4: Simplify right side
    361,300x = 99,796,069,414.69
  5. Step 5: Solve for x
    x = 99,796,069,414.69/361,300
  6. Step 6: Final answer
    x = 276,213.86

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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.