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Finding the Fourth Proportional to 375,874.83, 518,730.89 and 206,108.96

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Solution

The fourth proportional to 375,874.83, 518,730.89 and 206,108.96 is: 284,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,874.83 : 518,730.89 = 206,108.96 : x
  2. Step 2: Convert to fraction form
    375,874.83/518,730.89 = 206,108.96/x
  3. Step 3: Cross multiply
    375,874.83x = 518,730.89 × 206,108.96
  4. Step 4: Simplify right side
    375,874.83x = 106,915,080,633.58
  5. Step 5: Solve for x
    x = 106,915,080,633.58/375,874.83
  6. Step 6: Final answer
    x = 284,443.31

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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.