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Finding the Fourth Proportional to 279,836.66, 419,814.75 and 90,307.82

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Solution

The fourth proportional to 279,836.66, 419,814.75 and 90,307.82 is: 135,481.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,836.66 : 419,814.75 = 90,307.82 : x
  2. Step 2: Convert to fraction form
    279,836.66/419,814.75 = 90,307.82/x
  3. Step 3: Cross multiply
    279,836.66x = 419,814.75 × 90,307.82
  4. Step 4: Simplify right side
    279,836.66x = 37,912,554,876.35
  5. Step 5: Solve for x
    x = 37,912,554,876.35/279,836.66
  6. Step 6: Final answer
    x = 135,481.02

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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.