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Finding the Fourth Proportional to 279,851.22, 419,839.20 and 102,354.30

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Solution

The fourth proportional to 279,851.22, 419,839.20 and 102,354.30 is: 153,554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,851.22 : 419,839.20 = 102,354.30 : x
  2. Step 2: Convert to fraction form
    279,851.22/419,839.20 = 102,354.30/x
  3. Step 3: Cross multiply
    279,851.22x = 419,839.20 × 102,354.30
  4. Step 4: Simplify right side
    279,851.22x = 42,972,347,428.56
  5. Step 5: Solve for x
    x = 42,972,347,428.56/279,851.22
  6. Step 6: Final answer
    x = 153,554.26

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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.