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Finding the Fourth Proportional to 375,942.60, 518,801.40 and 206,177.76

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Solution

The fourth proportional to 375,942.60, 518,801.40 and 206,177.76 is: 284,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,942.60 : 518,801.40 = 206,177.76 : x
  2. Step 2: Convert to fraction form
    375,942.60/518,801.40 = 206,177.76/x
  3. Step 3: Cross multiply
    375,942.60x = 518,801.40 × 206,177.76
  4. Step 4: Simplify right side
    375,942.60x = 106,965,310,536.86
  5. Step 5: Solve for x
    x = 106,965,310,536.86/375,942.60
  6. Step 6: Final answer
    x = 284,525.64

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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.