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Finding the Fourth Proportional to 379,137.65, 523,209.58 and 209,371.37

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Solution

The fourth proportional to 379,137.65, 523,209.58 and 209,371.37 is: 288,932.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,137.65 : 523,209.58 = 209,371.37 : x
  2. Step 2: Convert to fraction form
    379,137.65/523,209.58 = 209,371.37/x
  3. Step 3: Cross multiply
    379,137.65x = 523,209.58 × 209,371.37
  4. Step 4: Simplify right side
    379,137.65x = 109,545,103,422.25
  5. Step 5: Solve for x
    x = 109,545,103,422.25/379,137.65
  6. Step 6: Final answer
    x = 288,932.28

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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.