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Finding the Fourth Proportional to 510,269.27, 765,576.87 and 225,920.60

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Solution

The fourth proportional to 510,269.27, 765,576.87 and 225,920.60 is: 338,957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,269.27 : 765,576.87 = 225,920.60 : x
  2. Step 2: Convert to fraction form
    510,269.27/765,576.87 = 225,920.60/x
  3. Step 3: Cross multiply
    510,269.27x = 765,576.87 × 225,920.60
  4. Step 4: Simplify right side
    510,269.27x = 172,959,585,816.52
  5. Step 5: Solve for x
    x = 172,959,585,816.52/510,269.27
  6. Step 6: Final answer
    x = 338,957.48

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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.