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Finding the Fourth Proportional to 499,403.28, 689,007.72 and 284,390.88

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Solution

The fourth proportional to 499,403.28, 689,007.72 and 284,390.88 is: 392,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,403.28 : 689,007.72 = 284,390.88 : x
  2. Step 2: Convert to fraction form
    499,403.28/689,007.72 = 284,390.88/x
  3. Step 3: Cross multiply
    499,403.28x = 689,007.72 × 284,390.88
  4. Step 4: Simplify right side
    499,403.28x = 195,947,511,817.59
  5. Step 5: Solve for x
    x = 195,947,511,817.59/499,403.28
  6. Step 6: Final answer
    x = 392,363.29

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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.