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Finding the Fourth Proportional to 417,900, 576,702 and 239,052

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Solution

The fourth proportional to 417,900, 576,702 and 239,052 is: 329,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,900 : 576,702 = 239,052 : x
  2. Step 2: Convert to fraction form
    417,900/576,702 = 239,052/x
  3. Step 3: Cross multiply
    417,900x = 576,702 × 239,052
  4. Step 4: Simplify right side
    417,900x = 137,861,766,504
  5. Step 5: Solve for x
    x = 137,861,766,504/417,900
  6. Step 6: Final answer
    x = 329,891.76

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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.