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Finding the Fourth Proportional to 498,993.50, 688,617.60 and 284,134.41

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Solution

The fourth proportional to 498,993.50, 688,617.60 and 284,134.41 is: 392,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,993.50 : 688,617.60 = 284,134.41 : x
  2. Step 2: Convert to fraction form
    498,993.50/688,617.60 = 284,134.41/x
  3. Step 3: Cross multiply
    498,993.50x = 688,617.60 × 284,134.41
  4. Step 4: Simplify right side
    498,993.50x = 195,659,955,491.62
  5. Step 5: Solve for x
    x = 195,659,955,491.62/498,993.50
  6. Step 6: Final answer
    x = 392,109.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.