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Finding the Fourth Proportional to 490,576.52, 676,491.54 and 409,973.96

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Solution

The fourth proportional to 490,576.52, 676,491.54 and 409,973.96 is: 565,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,576.52 : 676,491.54 = 409,973.96 : x
  2. Step 2: Convert to fraction form
    490,576.52/676,491.54 = 409,973.96/x
  3. Step 3: Cross multiply
    490,576.52x = 676,491.54 × 409,973.96
  4. Step 4: Simplify right side
    490,576.52x = 277,343,915,560.30
  5. Step 5: Solve for x
    x = 277,343,915,560.30/490,576.52
  6. Step 6: Final answer
    x = 565,342.82

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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.