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Finding the Fourth Proportional to 420,650.82, 580,490.25 and 239,358.66

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Solution

The fourth proportional to 420,650.82, 580,490.25 and 239,358.66 is: 330,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,650.82 : 580,490.25 = 239,358.66 : x
  2. Step 2: Convert to fraction form
    420,650.82/580,490.25 = 239,358.66/x
  3. Step 3: Cross multiply
    420,650.82x = 580,490.25 × 239,358.66
  4. Step 4: Simplify right side
    420,650.82x = 138,945,368,383.07
  5. Step 5: Solve for x
    x = 138,945,368,383.07/420,650.82
  6. Step 6: Final answer
    x = 330,310.47

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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.