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Finding the Fourth Proportional to 494,283.78, 741,429.59 and 323,649.32

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Solution

The fourth proportional to 494,283.78, 741,429.59 and 323,649.32 is: 485,476.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,283.78 : 741,429.59 = 323,649.32 : x
  2. Step 2: Convert to fraction form
    494,283.78/741,429.59 = 323,649.32/x
  3. Step 3: Cross multiply
    494,283.78x = 741,429.59 × 323,649.32
  4. Step 4: Simplify right side
    494,283.78x = 239,963,177,305.98
  5. Step 5: Solve for x
    x = 239,963,177,305.98/494,283.78
  6. Step 6: Final answer
    x = 485,476.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.