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Finding the Fourth Proportional to 375,600.52, 518,332.80 and 205,831

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Solution

The fourth proportional to 375,600.52, 518,332.80 and 205,831 is: 284,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,600.52 : 518,332.80 = 205,831 : x
  2. Step 2: Convert to fraction form
    375,600.52/518,332.80 = 205,831/x
  3. Step 3: Cross multiply
    375,600.52x = 518,332.80 × 205,831
  4. Step 4: Simplify right side
    375,600.52x = 106,688,958,556.80
  5. Step 5: Solve for x
    x = 106,688,958,556.80/375,600.52
  6. Step 6: Final answer
    x = 284,049.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.