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Finding the Fourth Proportional to 303,938.53, 419,455.04 and 201,804.10

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Solution

The fourth proportional to 303,938.53, 419,455.04 and 201,804.10 is: 278,502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,938.53 : 419,455.04 = 201,804.10 : x
  2. Step 2: Convert to fraction form
    303,938.53/419,455.04 = 201,804.10/x
  3. Step 3: Cross multiply
    303,938.53x = 419,455.04 × 201,804.10
  4. Step 4: Simplify right side
    303,938.53x = 84,647,744,780.01
  5. Step 5: Solve for x
    x = 84,647,744,780.01/303,938.53
  6. Step 6: Final answer
    x = 278,502.85

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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.