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Finding the Fourth Proportional to 279,412.91, 419,190.10 and 79,734

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Solution

The fourth proportional to 279,412.91, 419,190.10 and 79,734 is: 119,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,412.91 : 419,190.10 = 79,734 : x
  2. Step 2: Convert to fraction form
    279,412.91/419,190.10 = 79,734/x
  3. Step 3: Cross multiply
    279,412.91x = 419,190.10 × 79,734
  4. Step 4: Simplify right side
    279,412.91x = 33,423,703,234.07
  5. Step 5: Solve for x
    x = 33,423,703,234.07/279,412.91
  6. Step 6: Final answer
    x = 119,621.19

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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.