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Finding the Fourth Proportional to 375,435.96, 518,107.50 and 205,658.88

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Solution

The fourth proportional to 375,435.96, 518,107.50 and 205,658.88 is: 283,812.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,435.96 : 518,107.50 = 205,658.88 : x
  2. Step 2: Convert to fraction form
    375,435.96/518,107.50 = 205,658.88/x
  3. Step 3: Cross multiply
    375,435.96x = 518,107.50 × 205,658.88
  4. Step 4: Simplify right side
    375,435.96x = 106,553,408,169.60
  5. Step 5: Solve for x
    x = 106,553,408,169.60/375,435.96
  6. Step 6: Final answer
    x = 283,812.47

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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.