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Finding the Fourth Proportional to 375,687.52, 518,443.12 and 205,921.96

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Solution

The fourth proportional to 375,687.52, 518,443.12 and 205,921.96 is: 284,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,687.52 : 518,443.12 = 205,921.96 : x
  2. Step 2: Convert to fraction form
    375,687.52/518,443.12 = 205,921.96/x
  3. Step 3: Cross multiply
    375,687.52x = 518,443.12 × 205,921.96
  4. Step 4: Simplify right side
    375,687.52x = 106,758,823,418.92
  5. Step 5: Solve for x
    x = 106,758,823,418.92/375,687.52
  6. Step 6: Final answer
    x = 284,169.20

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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.