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Finding the Fourth Proportional to 331,522.50, 457,488.78 and 202,676.78

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Solution

The fourth proportional to 331,522.50, 457,488.78 and 202,676.78 is: 279,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,522.50 : 457,488.78 = 202,676.78 : x
  2. Step 2: Convert to fraction form
    331,522.50/457,488.78 = 202,676.78/x
  3. Step 3: Cross multiply
    331,522.50x = 457,488.78 × 202,676.78
  4. Step 4: Simplify right side
    331,522.50x = 92,722,352,816.53
  5. Step 5: Solve for x
    x = 92,722,352,816.53/331,522.50
  6. Step 6: Final answer
    x = 279,686.46

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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.