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Finding the Fourth Proportional to 499,591.47, 689,419.17 and 284,800.73

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Solution

The fourth proportional to 499,591.47, 689,419.17 and 284,800.73 is: 393,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,591.47 : 689,419.17 = 284,800.73 : x
  2. Step 2: Convert to fraction form
    499,591.47/689,419.17 = 284,800.73/x
  3. Step 3: Cross multiply
    499,591.47x = 689,419.17 × 284,800.73
  4. Step 4: Simplify right side
    499,591.47x = 196,347,082,891.99
  5. Step 5: Solve for x
    x = 196,347,082,891.99/499,591.47
  6. Step 6: Final answer
    x = 393,015.28

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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.