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Finding the Fourth Proportional to 284,640.53, 427,030.88 and 200,564.90

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Solution

The fourth proportional to 284,640.53, 427,030.88 and 200,564.90 is: 300,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,640.53 : 427,030.88 = 200,564.90 : x
  2. Step 2: Convert to fraction form
    284,640.53/427,030.88 = 200,564.90/x
  3. Step 3: Cross multiply
    284,640.53x = 427,030.88 × 200,564.90
  4. Step 4: Simplify right side
    284,640.53x = 85,647,402,606.13
  5. Step 5: Solve for x
    x = 85,647,402,606.13/284,640.53
  6. Step 6: Final answer
    x = 300,896.73

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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.