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Finding the Fourth Proportional to 494,954.78, 683,037.24 and 280,090.94

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Solution

The fourth proportional to 494,954.78, 683,037.24 and 280,090.94 is: 386,525.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,954.78 : 683,037.24 = 280,090.94 : x
  2. Step 2: Convert to fraction form
    494,954.78/683,037.24 = 280,090.94/x
  3. Step 3: Cross multiply
    494,954.78x = 683,037.24 × 280,090.94
  4. Step 4: Simplify right side
    494,954.78x = 191,312,542,606.61
  5. Step 5: Solve for x
    x = 191,312,542,606.61/494,954.78
  6. Step 6: Final answer
    x = 386,525.30

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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.