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Finding the Fourth Proportional to 361,815.12, 499,280.04 and 200,655

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Solution

The fourth proportional to 361,815.12, 499,280.04 and 200,655 is: 276,890.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,815.12 : 499,280.04 = 200,655 : x
  2. Step 2: Convert to fraction form
    361,815.12/499,280.04 = 200,655/x
  3. Step 3: Cross multiply
    361,815.12x = 499,280.04 × 200,655
  4. Step 4: Simplify right side
    361,815.12x = 100,183,036,426.20
  5. Step 5: Solve for x
    x = 100,183,036,426.20/361,815.12
  6. Step 6: Final answer
    x = 276,890.13

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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.