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Finding the Fourth Proportional to 284,004.80, 425,845.20 and 106,517.60

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Solution

The fourth proportional to 284,004.80, 425,845.20 and 106,517.60 is: 159,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,004.80 : 425,845.20 = 106,517.60 : x
  2. Step 2: Convert to fraction form
    284,004.80/425,845.20 = 106,517.60/x
  3. Step 3: Cross multiply
    284,004.80x = 425,845.20 × 106,517.60
  4. Step 4: Simplify right side
    284,004.80x = 45,360,008,675.52
  5. Step 5: Solve for x
    x = 45,360,008,675.52/284,004.80
  6. Step 6: Final answer
    x = 159,715.64

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1.5x scale

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.