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Finding the Fourth Proportional to 375,415.32, 518,067.99 and 205,650.66

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Solution

The fourth proportional to 375,415.32, 518,067.99 and 205,650.66 is: 283,795.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,415.32 : 518,067.99 = 205,650.66 : x
  2. Step 2: Convert to fraction form
    375,415.32/518,067.99 = 205,650.66/x
  3. Step 3: Cross multiply
    375,415.32x = 518,067.99 × 205,650.66
  4. Step 4: Simplify right side
    375,415.32x = 106,541,024,068.37
  5. Step 5: Solve for x
    x = 106,541,024,068.37/375,415.32
  6. Step 6: Final answer
    x = 283,795.09

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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.