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Finding the Fourth Proportional to 381,053.54, 571,121.84 and 140,976.02

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Solution

The fourth proportional to 381,053.54, 571,121.84 and 140,976.02 is: 211,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,053.54 : 571,121.84 = 140,976.02 : x
  2. Step 2: Convert to fraction form
    381,053.54/571,121.84 = 140,976.02/x
  3. Step 3: Cross multiply
    381,053.54x = 571,121.84 × 140,976.02
  4. Step 4: Simplify right side
    381,053.54x = 80,514,483,938.28
  5. Step 5: Solve for x
    x = 80,514,483,938.28/381,053.54
  6. Step 6: Final answer
    x = 211,294.41

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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.