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Finding the Fourth Proportional to 284,880.04, 427,195.40 and 135,163.04

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Solution

The fourth proportional to 284,880.04, 427,195.40 and 135,163.04 is: 202,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,880.04 : 427,195.40 = 135,163.04 : x
  2. Step 2: Convert to fraction form
    284,880.04/427,195.40 = 135,163.04/x
  3. Step 3: Cross multiply
    284,880.04x = 427,195.40 × 135,163.04
  4. Step 4: Simplify right side
    284,880.04x = 57,741,028,938.02
  5. Step 5: Solve for x
    x = 57,741,028,938.02/284,880.04
  6. Step 6: Final answer
    x = 202,685.41

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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.