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Finding the Fourth Proportional to 512,260.38, 766,487.52 and 321,829.20

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Solution

The fourth proportional to 512,260.38, 766,487.52 and 321,829.20 is: 481,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,260.38 : 766,487.52 = 321,829.20 : x
  2. Step 2: Convert to fraction form
    512,260.38/766,487.52 = 321,829.20/x
  3. Step 3: Cross multiply
    512,260.38x = 766,487.52 × 321,829.20
  4. Step 4: Simplify right side
    512,260.38x = 246,678,065,371.58
  5. Step 5: Solve for x
    x = 246,678,065,371.58/512,260.38
  6. Step 6: Final answer
    x = 481,548.20

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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.