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Finding the Fourth Proportional to 510,992.28, 766,042.92 and 211,285.80

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Solution

The fourth proportional to 510,992.28, 766,042.92 and 211,285.80 is: 316,744.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,992.28 : 766,042.92 = 211,285.80 : x
  2. Step 2: Convert to fraction form
    510,992.28/766,042.92 = 211,285.80/x
  3. Step 3: Cross multiply
    510,992.28x = 766,042.92 × 211,285.80
  4. Step 4: Simplify right side
    510,992.28x = 161,853,991,186.54
  5. Step 5: Solve for x
    x = 161,853,991,186.54/510,992.28
  6. Step 6: Final answer
    x = 316,744.49

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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.