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Finding the Fourth Proportional to 512,264.88, 766,494.27 and 321,833.70

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Solution

The fourth proportional to 512,264.88, 766,494.27 and 321,833.70 is: 481,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,264.88 : 766,494.27 = 321,833.70 : x
  2. Step 2: Convert to fraction form
    512,264.88/766,494.27 = 321,833.70/x
  3. Step 3: Cross multiply
    512,264.88x = 766,494.27 × 321,833.70
  4. Step 4: Simplify right side
    512,264.88x = 246,683,686,942.90
  5. Step 5: Solve for x
    x = 246,683,686,942.90/512,264.88
  6. Step 6: Final answer
    x = 481,554.95

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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.