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Finding the Fourth Proportional to 510,993.28, 766,044.42 and 211,286.80

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Solution

The fourth proportional to 510,993.28, 766,044.42 and 211,286.80 is: 316,745.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,993.28 : 766,044.42 = 211,286.80 : x
  2. Step 2: Convert to fraction form
    510,993.28/766,044.42 = 211,286.80/x
  3. Step 3: Cross multiply
    510,993.28x = 766,044.42 × 211,286.80
  4. Step 4: Simplify right side
    510,993.28x = 161,855,074,159.66
  5. Step 5: Solve for x
    x = 161,855,074,159.66/510,993.28
  6. Step 6: Final answer
    x = 316,745.99

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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.