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Finding the Fourth Proportional to 417,898, 576,699.24 and 239,050

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Solution

The fourth proportional to 417,898, 576,699.24 and 239,050 is: 329,889

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,898 : 576,699.24 = 239,050 : x
  2. Step 2: Convert to fraction form
    417,898/576,699.24 = 239,050/x
  3. Step 3: Cross multiply
    417,898x = 576,699.24 × 239,050
  4. Step 4: Simplify right side
    417,898x = 137,859,953,322
  5. Step 5: Solve for x
    x = 137,859,953,322/417,898
  6. Step 6: Final answer
    x = 329,889

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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.