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Finding the Fourth Proportional to 284,619.75, 426,866.74 and 82,171.87

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Solution

The fourth proportional to 284,619.75, 426,866.74 and 82,171.87 is: 123,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,619.75 : 426,866.74 = 82,171.87 : x
  2. Step 2: Convert to fraction form
    284,619.75/426,866.74 = 82,171.87/x
  3. Step 3: Cross multiply
    284,619.75x = 426,866.74 × 82,171.87
  4. Step 4: Simplify right side
    284,619.75x = 35,076,435,721.41
  5. Step 5: Solve for x
    x = 35,076,435,721.41/284,619.75
  6. Step 6: Final answer
    x = 123,239.64

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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.