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Finding the Fourth Proportional to 375,121.25, 517,667.73 and 205,355.78

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Solution

The fourth proportional to 375,121.25, 517,667.73 and 205,355.78 is: 283,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,121.25 : 517,667.73 = 205,355.78 : x
  2. Step 2: Convert to fraction form
    375,121.25/517,667.73 = 205,355.78/x
  3. Step 3: Cross multiply
    375,121.25x = 517,667.73 × 205,355.78
  4. Step 4: Simplify right side
    375,121.25x = 106,306,060,474.98
  5. Step 5: Solve for x
    x = 106,306,060,474.98/375,121.25
  6. Step 6: Final answer
    x = 283,391.20

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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.