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Finding the Fourth Proportional to 279,772.42, 419,718.28 and 90,243.42

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Solution

The fourth proportional to 279,772.42, 419,718.28 and 90,243.42 is: 135,384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,772.42 : 419,718.28 = 90,243.42 : x
  2. Step 2: Convert to fraction form
    279,772.42/419,718.28 = 90,243.42/x
  3. Step 3: Cross multiply
    279,772.42x = 419,718.28 × 90,243.42
  4. Step 4: Simplify right side
    279,772.42x = 37,876,813,023.72
  5. Step 5: Solve for x
    x = 37,876,813,023.72/279,772.42
  6. Step 6: Final answer
    x = 135,384.37

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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.