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Finding the Fourth Proportional to 284,243.20, 426,290.55 and 84,509.80

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Solution

The fourth proportional to 284,243.20, 426,290.55 and 84,509.80 is: 126,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,243.20 : 426,290.55 = 84,509.80 : x
  2. Step 2: Convert to fraction form
    284,243.20/426,290.55 = 84,509.80/x
  3. Step 3: Cross multiply
    284,243.20x = 426,290.55 × 84,509.80
  4. Step 4: Simplify right side
    284,243.20x = 36,025,729,122.39
  5. Step 5: Solve for x
    x = 36,025,729,122.39/284,243.20
  6. Step 6: Final answer
    x = 126,742.62

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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.