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Finding the Fourth Proportional to 375,142.64, 517,698.36 and 205,392.56

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Solution

The fourth proportional to 375,142.64, 517,698.36 and 205,392.56 is: 283,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,142.64 : 517,698.36 = 205,392.56 : x
  2. Step 2: Convert to fraction form
    375,142.64/517,698.36 = 205,392.56/x
  3. Step 3: Cross multiply
    375,142.64x = 517,698.36 × 205,392.56
  4. Step 4: Simplify right side
    375,142.64x = 106,331,391,468.20
  5. Step 5: Solve for x
    x = 106,331,391,468.20/375,142.64
  6. Step 6: Final answer
    x = 283,442.56

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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.