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Finding the Fourth Proportional to 509,819.46, 702,512.91 and 394,396.86

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Solution

The fourth proportional to 509,819.46, 702,512.91 and 394,396.86 is: 543,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,819.46 : 702,512.91 = 394,396.86 : x
  2. Step 2: Convert to fraction form
    509,819.46/702,512.91 = 394,396.86/x
  3. Step 3: Cross multiply
    509,819.46x = 702,512.91 × 394,396.86
  4. Step 4: Simplify right side
    509,819.46x = 277,068,885,813.46
  5. Step 5: Solve for x
    x = 277,068,885,813.46/509,819.46
  6. Step 6: Final answer
    x = 543,464.71

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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.