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Finding the Fourth Proportional to 316,107.90, 436,096.59 and 207,238.38

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Solution

The fourth proportional to 316,107.90, 436,096.59 and 207,238.38 is: 285,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,107.90 : 436,096.59 = 207,238.38 : x
  2. Step 2: Convert to fraction form
    316,107.90/436,096.59 = 207,238.38/x
  3. Step 3: Cross multiply
    316,107.90x = 436,096.59 × 207,238.38
  4. Step 4: Simplify right side
    316,107.90x = 90,375,948,422.62
  5. Step 5: Solve for x
    x = 90,375,948,422.62/316,107.90
  6. Step 6: Final answer
    x = 285,902.21

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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.