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Finding the Fourth Proportional to 667,694.88, 921,409.02 and 361,762.74

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Solution

The fourth proportional to 667,694.88, 921,409.02 and 361,762.74 is: 499,227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,694.88 : 921,409.02 = 361,762.74 : x
  2. Step 2: Convert to fraction form
    667,694.88/921,409.02 = 361,762.74/x
  3. Step 3: Cross multiply
    667,694.88x = 921,409.02 × 361,762.74
  4. Step 4: Simplify right side
    667,694.88x = 333,331,451,735.92
  5. Step 5: Solve for x
    x = 333,331,451,735.92/667,694.88
  6. Step 6: Final answer
    x = 499,227.21

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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.