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Finding the Fourth Proportional to 279,784.84, 419,348.70 and 129,709.24

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Solution

The fourth proportional to 279,784.84, 419,348.70 and 129,709.24 is: 194,411.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,784.84 : 419,348.70 = 129,709.24 : x
  2. Step 2: Convert to fraction form
    279,784.84/419,348.70 = 129,709.24/x
  3. Step 3: Cross multiply
    279,784.84x = 419,348.70 × 129,709.24
  4. Step 4: Simplify right side
    279,784.84x = 54,393,401,171.99
  5. Step 5: Solve for x
    x = 54,393,401,171.99/279,784.84
  6. Step 6: Final answer
    x = 194,411.54

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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.