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Finding the Fourth Proportional to 375,877.92, 518,710.86 and 206,122.98

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Solution

The fourth proportional to 375,877.92, 518,710.86 and 206,122.98 is: 284,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,877.92 : 518,710.86 = 206,122.98 : x
  2. Step 2: Convert to fraction form
    375,877.92/518,710.86 = 206,122.98/x
  3. Step 3: Cross multiply
    375,877.92x = 518,710.86 × 206,122.98
  4. Step 4: Simplify right side
    375,877.92x = 106,918,228,221.56
  5. Step 5: Solve for x
    x = 106,918,228,221.56/375,877.92
  6. Step 6: Final answer
    x = 284,449.35

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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.