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Finding the Fourth Proportional to 362,201.10, 543,690.45 and 204,737.10

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Solution

The fourth proportional to 362,201.10, 543,690.45 and 204,737.10 is: 307,325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,201.10 : 543,690.45 = 204,737.10 : x
  2. Step 2: Convert to fraction form
    362,201.10/543,690.45 = 204,737.10/x
  3. Step 3: Cross multiply
    362,201.10x = 543,690.45 × 204,737.10
  4. Step 4: Simplify right side
    362,201.10x = 111,313,606,030.70
  5. Step 5: Solve for x
    x = 111,313,606,030.70/362,201.10
  6. Step 6: Final answer
    x = 307,325.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.