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Finding the Fourth Proportional to 206,320, 309,498 and 58,576

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Solution

The fourth proportional to 206,320, 309,498 and 58,576 is: 87,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,320 : 309,498 = 58,576 : x
  2. Step 2: Convert to fraction form
    206,320/309,498 = 58,576/x
  3. Step 3: Cross multiply
    206,320x = 309,498 × 58,576
  4. Step 4: Simplify right side
    206,320x = 18,129,154,848
  5. Step 5: Solve for x
    x = 18,129,154,848/206,320
  6. Step 6: Final answer
    x = 87,869.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.