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Finding the Fourth Proportional to 499,797.54, 689,732.82 and 284,958

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Solution

The fourth proportional to 499,797.54, 689,732.82 and 284,958 is: 393,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,797.54 : 689,732.82 = 284,958 : x
  2. Step 2: Convert to fraction form
    499,797.54/689,732.82 = 284,958/x
  3. Step 3: Cross multiply
    499,797.54x = 689,732.82 × 284,958
  4. Step 4: Simplify right side
    499,797.54x = 196,544,884,921.56
  5. Step 5: Solve for x
    x = 196,544,884,921.56/499,797.54
  6. Step 6: Final answer
    x = 393,249.00

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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.