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Finding the Fourth Proportional to 499,393.28, 688,993.92 and 284,380.88

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Solution

The fourth proportional to 499,393.28, 688,993.92 and 284,380.88 is: 392,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,393.28 : 688,993.92 = 284,380.88 : x
  2. Step 2: Convert to fraction form
    499,393.28/688,993.92 = 284,380.88/x
  3. Step 3: Cross multiply
    499,393.28x = 688,993.92 × 284,380.88
  4. Step 4: Simplify right side
    499,393.28x = 195,936,697,284.25
  5. Step 5: Solve for x
    x = 195,936,697,284.25/499,393.28
  6. Step 6: Final answer
    x = 392,349.49

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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.